| Title: | Sampling from k-th Order Statistics of New Families of Distributions |
|---|---|
| Description: | Set of tools to generate samples of k-th order statistics and others quantities of interest from new families of distributions. The main references for this package are: C. Kleiber and S. Kotz (2003) Statistical size distributions in economics and actuarial sciences; Gentle, J. (2009), Computational Statistics, Springer-Verlag; Naradajah, S. and Rocha, R. (2016), <DOI:10.18637/jss.v069.i10> and Stasinopoulos, M. and Rigby, R. (2015), <DOI:10.1111/j.1467-9876.2005.00510.x>. The families of distributions are: Benini distributions, Burr distributions, Dagum distributions, Feller-Pareto distributions, Generalized Pareto distributions, Inverse Pareto distributions, The Inverse Paralogistic distributions, Marshall-Olkin G distributions, exponentiated G distributions, beta G distributions, gamma G distributions, Kumaraswamy G distributions, generalized beta G distributions, beta extended G distributions, gamma G distributions, gamma uniform G distributions, beta exponential G distributions, Weibull G distributions, log gamma G I distributions, log gamma G II distributions, exponentiated generalized G distributions, exponentiated Kumaraswamy G distributions, geometric exponential Poisson G distributions, truncated-exponential skew-symmetric G distributions, modified beta G distributions, exponentiated exponential Poisson G distributions, Poisson-inverse gaussian distributions, Skew normal type 1 distributions, Skew student t distributions, Singh-Maddala distributions, Sinh-Arcsinh distributions, Sichel distributions, Zero inflated Poisson distributions. |
| Authors: | Carlos Alberto Cardozo Delgado |
| Maintainer: | Carlos Alberto Cardozo Delgado <[email protected]> |
| License: | GPL-3 |
| Version: | 0.1.8 |
| Built: | 2024-12-01 08:49:21 UTC |
| Source: | CRAN |
order_beg is used to obtain a random sample of the k-th order statistic from a Beta Extended G distribution.
order_beg(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)order_beg(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
a |
numeric, represents the first shape parameter. Default value is 1. |
b |
numeric, represents the second shape parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Beta Extended G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from a Beta Extented Exponential Distribution order_beg(10,"exp",a=1,b=1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Beta Extented Normal Distribution order_beg(10,"norm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Beta Extented Log-normal Distribution order_beg(10,"lnorm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Beta Extented Chis-square Distribution order_beg(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from a Beta Extented Exponential Distribution order_beg(10,"exp",a=1,b=1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Beta Extented Normal Distribution order_beg(10,"norm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Beta Extented Log-normal Distribution order_beg(10,"lnorm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Beta Extented Chis-square Distribution order_beg(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)
order_benini is used to obtain a random sample of the k-th order statistic from a Benini distribution and some associated quantities of interest.
order_benini(size, k, shape1, scale, n, p = 0.5, alpha = 0.05, ...)order_benini(size, k, shape1, scale, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
k |
numeric, represents the K-th smallest value from a sample. |
shape1 |
numeric, represents a first shape parameter value. Must be strictly positive. |
scale |
numeric, represents scale parameter values. Must be strictly positive. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of a Benini distribution. |
A list with a random sample of order statistics from a Benini Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Kleiber, C. and Kotz, S. (2003). Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken, NJ, USA: Wiley-Interscience.
library(orders) # A sample of size 10 of the 3-th order statistics from a Benini Distribution order_benini(size=10,shape1=0.75,scale=1,k=3,n=50,p=0.5,alpha=0.02)library(orders) # A sample of size 10 of the 3-th order statistics from a Benini Distribution order_benini(size=10,shape1=0.75,scale=1,k=3,n=50,p=0.5,alpha=0.02)
order_betaexpg is used to obtain a random sample of the k-th order statistic from a Beta Exponential G Distribution.
order_betaexpg(size, spec, lambda, a, b, k, n, p = 0.5, alpha = 0.05, ...)order_betaexpg(size, spec, lambda, a, b, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
lambda |
numeric, represents the first shape parameter. Default value is 1. |
a |
numeric, represents the second shape parameter. Default value is 1. |
b |
numeric, represents the third shape parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Beta Exponential G Distribution and the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from # a Beta Exponential Exponential Distribution order_betaexpg(10,"exp",1,1,1,k=3,50,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Beta Exponential Normal Distribution order_betaexpg(10,"norm",1,1,1,k=3,50) # A sample of size 10 of the 3-th order statistics from # a Beta Exponential Log-normal Distribution order_betaexpg(10,"lnorm",1,1,1,k=3,50) # A sample of size 10 of the 3-th order statistics from # a Beta Exponential Chi-square Distribution order_betaexpg(10,"chisq",1,1,1,k=3,50,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from # a Beta Exponential Exponential Distribution order_betaexpg(10,"exp",1,1,1,k=3,50,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Beta Exponential Normal Distribution order_betaexpg(10,"norm",1,1,1,k=3,50) # A sample of size 10 of the 3-th order statistics from # a Beta Exponential Log-normal Distribution order_betaexpg(10,"lnorm",1,1,1,k=3,50) # A sample of size 10 of the 3-th order statistics from # a Beta Exponential Chi-square Distribution order_betaexpg(10,"chisq",1,1,1,k=3,50,df=3)
order_betag is used to obtain a random sample of the k-th order statistic from a Beta G distribution.
order_betag(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)order_betag(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
a |
numeric, represents the first shape parameter. Default value is 1. |
b |
numeric, represents the first shape parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Beta G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from a Beta Exponential Distribution order_betag(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Beta Normal Distribution order_betag(10,"norm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Beta Log-normal Distribution order_betag(10,"lnorm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Beta Chis-square Distribution order_betag(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from a Beta Exponential Distribution order_betag(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Beta Normal Distribution order_betag(10,"norm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Beta Log-normal Distribution order_betag(10,"lnorm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Beta Chis-square Distribution order_betag(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)
order_burr is used to obtain a random sample of the k-th order statistic from a Burr distribution and some associated quantities of interest.
order_burr(size, k, shape1, shape2, scale, n, p = 0.5, alpha = 0.05, ...)order_burr(size, k, shape1, shape2, scale, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
k |
numeric, represents the k-th smallest value from a sample. |
shape1 |
numeric, represents a first shape parameter value. Must be strictly positive. |
shape2 |
numeric, represents a second shape parameter value. Must be strictly positive. |
scale |
numeric, represents scale parameter values. Must be strictly positive. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of a Burr distribution. |
A list with a random sample of order statistics from a Burr Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.
library(orders) # A sample of size 10 of the 3-th order statistics from a Burr Distribution order_burr(size=10,shape1=0.75,shape2=1,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)library(orders) # A sample of size 10 of the 3-th order statistics from a Burr Distribution order_burr(size=10,shape1=0.75,shape2=1,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)
order_dagum is used to obtain a random sample of the k-th order statistic from a Dagum distribution and some associated quantities of interest.
order_dagum(size, k, shape1, shape2, scale, n, p = 0.5, alpha = 0.05, ...)order_dagum(size, k, shape1, shape2, scale, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
k |
numeric, represents the k-th smallest value from a sample. |
shape1 |
numeric, represents a first shape parameter value. Must be strictly positive. |
shape2 |
numeric, represents a second shape parameter value. Must be strictly positive. |
scale |
numeric, represents scale parameter values. Must be strictly positive. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of a Dagum distribution. |
A list with a random sample of order statistics from a Dagum Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Kleiber, C. and Kotz, S. (2003). Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken, NJ, USA: Wiley-Interscience.
library(orders) # A sample of size 10 of the 3-th order statistics from a Dagum Distribution order_dagum(size=10,shape1=1,shape2=2,scale=1,k=3,n=50,p=0.5,alpha=0.02)library(orders) # A sample of size 10 of the 3-th order statistics from a Dagum Distribution order_dagum(size=10,shape1=1,shape2=2,scale=1,k=3,n=50,p=0.5,alpha=0.02)
order_eepg is used to obtain a random sample of the k-th order statistic from a Exponentiated Exponential Poisson G Distribution.
order_eepg(size, spec, lambda, a, k, n, p = 0.5, alpha = 0.05, ...)order_eepg(size, spec, lambda, a, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
lambda |
numeric, represents a scale parameter. Default value is 1. |
a |
numeric, represents the shape parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Exponentiated Exponential Poisson G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Exponential Poisson Exponential Distribution order_eepg(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Exponential Poisson Normal Distribution order_eepg(10,"norm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Exponential Poisson Log-normal Distribution order_eepg(10,"lnorm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Exponential Poisson Chi-square Distribution order_eepg(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Exponential Poisson Exponential Distribution order_eepg(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Exponential Poisson Normal Distribution order_eepg(10,"norm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Exponential Poisson Log-normal Distribution order_eepg(10,"lnorm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Exponential Poisson Chi-square Distribution order_eepg(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)
order_eg is used to obtain a random sample of k-th order order statistic from a Exponentiated Generalized G Distribution.
order_eg(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)order_eg(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
a |
numeric, represents the first shape parameter. Default value is 1. |
b |
numeric, represents the second shape parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Exponentiated Generalized G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Generalized Exponential Distribution order_eg(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Generalized Normal Distribution order_eg(10,"norm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Generalized Log-normal Distribution order_eg(10,"lnorm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Generalized Chi-square Distribution order_eg(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Generalized Exponential Distribution order_eg(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Generalized Normal Distribution order_eg(10,"norm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Generalized Log-normal Distribution order_eg(10,"lnorm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Generalized Chi-square Distribution order_eg(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)
order_expg is used to obtain a random sample of the k-th order statistic from a Exponentiated G Distribution.
order_expg(size, spec, a, k, n, p = 0.5, alpha = 0.05, ...)order_expg(size, spec, a, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
a |
numeric, represents the first shape parameter. Default value is 1. |
k |
numeric, represents the K-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the K-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population median of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Exponentiated G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from a Exponentiated Exponential Distribution order_expg(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Exponentiated Normal Distribution order_expg(10,"norm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Exponentiated Log-normal Distribution order_expg(10,"lnorm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Exponentiated Chi-square Distribution order_expg(10,"chisq",1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from a Exponentiated Exponential Distribution order_expg(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Exponentiated Normal Distribution order_expg(10,"norm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Exponentiated Log-normal Distribution order_expg(10,"lnorm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Exponentiated Chi-square Distribution order_expg(10,"chisq",1,k=3,n=50,p=0.5,df=3)
order_expkumg is used to obtain a random sample of the k-th order statistic from a Exponentiated Kumaraswamy G distribution.
order_expkumg(size, spec, a, b, c, k, n, p = 0.5, alpha = 0.05, ...)order_expkumg(size, spec, a, b, c, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
a |
numeric, represents the first shape parameter. Default value is 1. |
b |
numeric, represents the second shape parameter. Default value is 1. |
c |
numeric, represents the third shape parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Exponentiated Kumaraswamy G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Kumaraswamy Exponential Distribution order_expkumg(10,"exp",1,1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Kumaraswamy Normal Distribution order_expkumg(10,"norm",1,1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Kumaraswamy Log-normal Distribution order_expkumg(10,"lnorm",1,1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Kumaraswamy Chi-square Distribution order_expkumg(10,"chisq",1,1,1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Kumaraswamy Exponential Distribution order_expkumg(10,"exp",1,1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Kumaraswamy Normal Distribution order_expkumg(10,"norm",1,1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Kumaraswamy Log-normal Distribution order_expkumg(10,"lnorm",1,1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Exponentiated Kumaraswamy Chi-square Distribution order_expkumg(10,"chisq",1,1,1,k=3,n=50,p=0.5,df=3)
order_fellerpareto is used to obtain a random sample of the k-th order statistic from a Feller-Pareto distribution and some associated quantities of interest.
order_fellerpareto( size, k, min, shape1, shape2, shape3, scale, n, p = 0.5, alpha = 0.05, ... )order_fellerpareto( size, k, min, shape1, shape2, shape3, scale, n, p = 0.5, alpha = 0.05, ... )
size |
numeric, represents the size of the sample. |
k |
numeric, represents the k-th smallest value from a sample. |
min |
numeric, represents the lower bound of the support of the distribution. |
shape1 |
numeric, represents a first shape parameter value. Must be strictly positive. |
shape2 |
numeric, represents a second shape parameter value. Must be strictly positive. |
shape3 |
numeric, represents a third shape parameter value. Must be strictly positive. |
scale |
numeric, represents scale parameter values. Must be strictly positive. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of a Feller-Pareto distribution. |
A list with a random sample of order statistics from a Feller-Pareto Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.
library(orders) # A sample of size 10 of the 3-th order statistics from a Feller-Pareto Distribution order_fellerpareto(size=10, min=0.5,shape1=0.75,shape2=1,shape3=1.25,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)library(orders) # A sample of size 10 of the 3-th order statistics from a Feller-Pareto Distribution order_fellerpareto(size=10, min=0.5,shape1=0.75,shape2=1,shape3=1.25,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)
order_gammag is used to obtain a random sample of the k-th order statistic from a Gamma Uniform G distribution.
order_gammag(size, spec, a, k, n, p = 0.5, alpha = 0.05, ...)order_gammag(size, spec, a, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
a |
numeric, represents the first shape parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Gamma Uniform G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from a Gamma Uniform Exponential Distribution order_gammag(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Gamma Uniform Normal Distribution order_gammag(10,"norm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Gamma Uniform Log-normal Distribution order_gammag(10,"lnorm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Gamma Uniform Chi-square Distribution order_gammag(10,"chisq",1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from a Gamma Uniform Exponential Distribution order_gammag(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Gamma Uniform Normal Distribution order_gammag(10,"norm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Gamma Uniform Log-normal Distribution order_gammag(10,"lnorm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Gamma Uniform Chi-square Distribution order_gammag(10,"chisq",1,k=3,n=50,p=0.5,df=3)
order_gammag1 is used to obtain a random sample of the k-th order statistic from a Gamma G I distribution and some associated quantities of interest.
order_gammag1(size, spec, a, k, n, p = 0.5, alpha = 0.05, ...)order_gammag1(size, spec, a, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
a |
numeric, represents the first shape parameter. Default value is 1. |
k |
numeric, represents the K-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the K-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population median of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Gamma G I Distribution, the value of its join probability density function evaluated in the random sample and and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from a Gamma Exponential I Distribution order_gammag1(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Gamma Normal I Distribution order_gammag1(10,"norm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Gamma Log-normal I Distribution order_gammag1(10,"lnorm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Gamma Chi-square I Distribution order_gammag1(10,"chisq",1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from a Gamma Exponential I Distribution order_gammag1(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Gamma Normal I Distribution order_gammag1(10,"norm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Gamma Log-normal I Distribution order_gammag1(10,"lnorm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Gamma Chi-square I Distribution order_gammag1(10,"chisq",1,k=3,n=50,p=0.5,df=3)
order_gammag2 is used to obtain a random sample of the k-th order statistic from a Gamma G II Distribution and some associated quantities of interest.
order_gammag2(size, spec, a, k, n, p = 0.5, alpha = 0.05, ...)order_gammag2(size, spec, a, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
a |
numeric, represents the first shape parameter. Default value is 1. |
k |
numeric, represents the K-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the K-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population median of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Gamma G II Distribution, the value of its join probability density function evaluated in the random sample and and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from a Gamma Exponential II Distribution order_gammag2(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Gamma Normal II Distribution order_gammag2(10,"norm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Gamma Log-normal II Distribution order_gammag2(10,"lnorm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Gamma Chi-square II Distribution order_gammag2(10,"chisq",1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from a Gamma Exponential II Distribution order_gammag2(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Gamma Normal II Distribution order_gammag2(10,"norm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Gamma Log-normal II Distribution order_gammag2(10,"lnorm",1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Gamma Chi-square II Distribution order_gammag2(10,"chisq",1,k=3,n=50,p=0.5,df=3)
order_gbg is used to obtain a random sample of the k-th order statistic from a Generalized Beta G distribution and some associated quantities of interest.
order_gbg(size, spec, a, b, c, k, n, p = 0.5, alpha = 0.05, ...)order_gbg(size, spec, a, b, c, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
a |
numeric, represents the first shape parameter. Default value is 1. |
b |
numeric, represents the second shape parameter. Default value is 1. |
c |
numeric, represents the third shape parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Generalized Beta G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from # a Generalized Beta Exponential Distribution order_gbg(10,"exp",1,1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Generalized Beta Normal Distribution order_gbg(10,"norm",1,1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Generalized Beta Log-normal Distribution order_gbg(10,"lnorm",1,1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Generalized Beta Chi-square Distribution order_gbg(10,"chisq",1,1,1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from # a Generalized Beta Exponential Distribution order_gbg(10,"exp",1,1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Generalized Beta Normal Distribution order_gbg(10,"norm",1,1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Generalized Beta Log-normal Distribution order_gbg(10,"lnorm",1,1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Generalized Beta Chi-square Distribution order_gbg(10,"chisq",1,1,1,k=3,n=50,p=0.5,df=3)
order_gpareto is used to obtain a random sample of the k-th order statistic from a Generalized Pareto distribution and some associated quantities of interest.
order_gpareto(size, k, shape1, shape2, scale, n, p = 0.5, alpha = 0.05, ...)order_gpareto(size, k, shape1, shape2, scale, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
k |
numeric, represents the k-th smallest value from a sample. |
shape1 |
numeric, represents a first shape parameter value. Must be strictly positive. |
shape2 |
numeric, represents a second shape parameter value. Must be strictly positive. |
scale |
numeric, represents scale parameter values. Must be strictly positive. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of a Generalized Pareto distribution. |
A list with a random sample of order statistics from a Generalized Pareto Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.
library(orders) # A sample of size 10 of the 3-th order statistics from a Generalized Pareto Distribution order_gpareto(size=10,shape1=0.75,shape2=1,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)library(orders) # A sample of size 10 of the 3-th order statistics from a Generalized Pareto Distribution order_gpareto(size=10,shape1=0.75,shape2=1,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)
order_invpareto is used to obtain a random sample of the k-th order statistic from a Inverse Pareto distribution and some associated quantities of interest.
order_invpareto(size, k, shape1, scale, n, p = 0.5, alpha = 0.05, ...)order_invpareto(size, k, shape1, scale, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
k |
numeric, represents the k-th smallest value from a sample. |
shape1 |
numeric, represents a first shape parameter value. Must be strictly positive. |
scale |
numeric, represents scale parameter values. Must be strictly positive. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of a Inverse Pareto distribution. |
A list with a random sample of order statistics from a Inverse Pareto Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.
library(orders) # A sample of size 10 of the 3-th order statistics from a Inverse Pareto Distribution order_invpareto(size=10,shape1=0.75,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)library(orders) # A sample of size 10 of the 3-th order statistics from a Inverse Pareto Distribution order_invpareto(size=10,shape1=0.75,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)
order_iparalogistic is used to obtain a random sample of the k-th order statistic from a Inverse Paralogistic distribution and some associated quantities of interest.
order_iparalogistic(size, k, shape, scale, n, p = 0.5, alpha = 0.05, ...)order_iparalogistic(size, k, shape, scale, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
k |
numeric, represents the k-th smallest value from a sample. |
shape |
numeric, represents a first shape parameter value. Must be strictly positive. |
scale |
numeric, represents scale parameter values. Must be strictly positive. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of a Inverse Paralogistic distribution. |
A list with a random sample of order statistics from a Inverse Paralogistic Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.
library(orders) # A sample of size 10 of the 3-th order statistics from a Inverse Paralogistic Distribution order_iparalogistic(size=10,shape=1.5,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)library(orders) # A sample of size 10 of the 3-th order statistics from a Inverse Paralogistic Distribution order_iparalogistic(size=10,shape=1.5,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)
order_expkumg is used to obtain a random sample of he k-th order statistic from a Kumaraswamy G distribution.
order_kumg(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)order_kumg(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
a |
numeric, represents the first shape parameter. Default value is 1. |
b |
numeric, represents the second shape parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Kumaraswamy G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from # a Kumaraswamy Exponential Distribution order_kumg(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Kumaraswamy Normal Distribution order_kumg(10,"norm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Kumaraswamy Log-normal Distribution order_kumg(10,"lnorm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Kumaraswamy Chi-square Distribution order_kumg(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from # a Kumaraswamy Exponential Distribution order_kumg(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Kumaraswamy Normal Distribution order_kumg(10,"norm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Kumaraswamy Log-normal Distribution order_kumg(10,"lnorm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Kumaraswamy Chi-square Distribution order_kumg(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)
order_loggammag1 is used to obtain a random sample of the k-th order statistic from a Log Gamma G I distribution and some associated quantities of interest.
order_loggammag1(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)order_loggammag1(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
a |
numeric, represents the first shape parameter. Default value is 1. |
b |
numeric, represents the second shape parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Log Gamma G I Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Exponential I Distribution order_loggammag1(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Normal I Distribution order_loggammag1(10,"norm",1,1,k=3,n=50,p=0.5,) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Log-normal I Distribution order_loggammag1(10,"lnorm",1,1,k=3,n=50,p=0.5,) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Chi-square I Distribution order_loggammag1(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Exponential I Distribution order_loggammag1(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Normal I Distribution order_loggammag1(10,"norm",1,1,k=3,n=50,p=0.5,) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Log-normal I Distribution order_loggammag1(10,"lnorm",1,1,k=3,n=50,p=0.5,) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Chi-square I Distribution order_loggammag1(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)
order_loggammag2 is used to obtain a random sample of the k-th order statistic from a Log Gamma G II distribution.
order_loggammag2(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)order_loggammag2(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
a |
numeric, represents the first shape parameter. Default value is 1. |
b |
numeric, represents the second shape parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Log Gamma G II Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Exponential II Distribution order_loggammag2(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Normal II Distribution order_loggammag2(10,"norm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Log-normal II Distribution order_loggammag2(10,"lnorm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Chi-square II Distribution order_loggammag2(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Exponential II Distribution order_loggammag2(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Normal II Distribution order_loggammag2(10,"norm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Log-normal II Distribution order_loggammag2(10,"lnorm",1,1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from # a Log Gamma Chi-square II Distribution order_loggammag2(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)
order_mbetag is used to obtain a random sample of k-th order statistic from a Modified Beta G distribution.
order_mbetag(size, spec, beta, a, b, k, n, p = 0.5, alpha = 0.05, ...)order_mbetag(size, spec, beta, a, b, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
beta |
numeric, represents the scale parameter. Default value is 1. |
a |
numeric, represents a shape parameter must be positive. Default value is 1. |
b |
numeric, represents a shape parameter must be positive. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Modified Beta G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from # a Modified Beta Exponential Distribution order_mbetag(10,"exp",1,1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Modified Beta Normal Distribution order_mbetag(10,"norm",1,1,1,k=3,n=50,p=0.5,) # A sample of size 10 of the 3-th order statistics from # a Modified Beta Log-normal Distribution order_mbetag(10,"lnorm",1,1,1,k=3,n=50,p=0.5)library(orders) # A sample of size 10 of the 3-th order statistics from # a Modified Beta Exponential Distribution order_mbetag(10,"exp",1,1,1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Modified Beta Normal Distribution order_mbetag(10,"norm",1,1,1,k=3,n=50,p=0.5,) # A sample of size 10 of the 3-th order statistics from # a Modified Beta Log-normal Distribution order_mbetag(10,"lnorm",1,1,1,k=3,n=50,p=0.5)
order_mog is used to obtain a random sample of k-th order statistic from a Marshall Olkin G distribution.
order_mog(size, spec, beta, k, n, p = 0.5, alpha = 0.05, ...)order_mog(size, spec, beta, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
beta |
numeric, represents the scale parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Marshall Olkin G Distribution, the value of its join probability density function evaluated in the random sample and an approximate 100(1 - alpha) confidence interval for the population percentile p of the distribution of the K-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from # a Marshall Olkin Exponential Distribution order_mog(10,"exp",p=0.5,1,k=3,50,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Marshall Olkin Normal Distribution order_mog(10,"norm",p=0.5,1,k=3,50) # A sample of size 10 of the 3-th order statistics from # a Marshall Olkin Log-normal Distribution order_mog(10,"lnorm",p=0.5,1,k=3,50)library(orders) # A sample of size 10 of the 3-th order statistics from # a Marshall Olkin Exponential Distribution order_mog(10,"exp",p=0.5,1,k=3,50,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Marshall Olkin Normal Distribution order_mog(10,"norm",p=0.5,1,k=3,50) # A sample of size 10 of the 3-th order statistics from # a Marshall Olkin Log-normal Distribution order_mog(10,"lnorm",p=0.5,1,k=3,50)
order_pig is used to obtain a random sample of the k-th order statistic from a Poisson-inverse Gaussian distribution and some associated quantities of interest.
order_pig(size, k, mu, sigma, n, p = 0.5, alpha = 0.05, ...)order_pig(size, k, mu, sigma, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
k |
numeric, represents the k-th smallest value from a sample. |
mu |
numeric, represents the location parameter values. |
sigma |
numeric, represents scale parameter values. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of a Poisson-inverse Gaussian distribution. |
A list with a random sample of order statistics from a Poisson-inverse Gaussian Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society. Applied Statistics, Series C.
library(orders) # A sample of size 10 of the 3-th order statistics from a Poisson-inverse Gaussian Distribution # order_pig(size=20,k=5,mu=6,sigma=1,n=30,p=0.5,alpha=0.02)library(orders) # A sample of size 10 of the 3-th order statistics from a Poisson-inverse Gaussian Distribution # order_pig(size=20,k=5,mu=6,sigma=1,n=30,p=0.5,alpha=0.02)
order_sichel is used to obtain a random sample of the k-th order statistic from a Sichel distribution and some associated quantities of interest.
order_sichel(size, k, mu, sigma, nu, n, p = 0.5, alpha = 0.05, ...)order_sichel(size, k, mu, sigma, nu, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
k |
numeric, represents the K-th smallest value from a sample. |
mu |
numeric, represents the location parameter values. |
sigma |
numeric, represents scale parameter values. |
nu |
numeric, represents skewness parameter values |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of a Sichel distribution. |
A list with a random sample of order statistics from a Sichel Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society. Applied Statistics, Series C.
library(orders) # A sample of size 10 of the 3-th order statistics from a Sichel Distribution # order_sichel(size=20,k=5,mu=5,sigma=1,nu=1,n=30,p=0.5,alpha=0.02)library(orders) # A sample of size 10 of the 3-th order statistics from a Sichel Distribution # order_sichel(size=20,k=5,mu=5,sigma=1,nu=1,n=30,p=0.5,alpha=0.02)
order_sinharcsinh is used to obtain a random sample of the k-th order statistic from a Sinh-Arcsinh Distribution and some associated quantities of interest.
order_sinharcsinh(size, k, mu, sigma, nu, tau, n, p = 0.5, alpha = 0.05, ...)order_sinharcsinh(size, k, mu, sigma, nu, tau, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
k |
numeric, represents the K-th smallest value from a sample. |
mu |
numeric, represents the location parameter values. |
sigma |
numeric, represents scale parameter values. |
nu |
numeric, represents skewness parameter values |
tau |
numeric, represents kurtosis tau parameter values. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of a Sinh-Arcsinh distribution. |
A list with a random sample of order statistics from a Sinh-Arcsinh Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society. Applied Statistics, Series C.
library(orders) # A sample of size 10 of the 3-th order statistics from a Sinh-Arcsinh Distribution order_sinharcsinh(size=10,k=3,mu=0,sigma=1,nu=1,tau=2,n=30,p=0.5,alpha=0.02)library(orders) # A sample of size 10 of the 3-th order statistics from a Sinh-Arcsinh Distribution order_sinharcsinh(size=10,k=3,mu=0,sigma=1,nu=1,tau=2,n=30,p=0.5,alpha=0.02)
order_sm is used to obtain a random sample of the k-th order statistic from a Singh-Maddala distribution and some associated quantities of interest.
order_sm(size, k, shape1, shape2, scale, n, p = 0.5, alpha = 0.05, ...)order_sm(size, k, shape1, shape2, scale, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
k |
numeric, represents the K-th smallest value from a sample. |
shape1 |
numeric, represents a first shape parameter value. Must be strictly positive. |
shape2 |
numeric, represents a second shape parameter value. Must be strictly positive. |
scale |
numeric, represents scale parameter values. Must be strictly positive. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of a Singh-Maddala distribution. |
A list with a random sample of order statistics from a Singh-Maddala Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Kleiber, C. and Kotz, S. (2003). Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken, NJ, USA: Wiley-Interscience.
library(orders) # A sample of size 10 of the 3-th order statistics from a Singh-Maddala Distribution order_sm(size=10,shape1=1,shape2=2,scale=1,k=3,n=50,p=0.5,alpha=0.02)library(orders) # A sample of size 10 of the 3-th order statistics from a Singh-Maddala Distribution order_sm(size=10,shape1=1,shape2=2,scale=1,k=3,n=50,p=0.5,alpha=0.02)
order_snormal1 is used to obtain a random sample of the k-th order statistic from a Skew normal type 1 distribution and some associated quantities of interest.
order_snormal1(size, k, mu, sigma, nu, tau, n, p = 0.5, alpha = 0.05, ...)order_snormal1(size, k, mu, sigma, nu, tau, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
k |
numeric, represents the K-th smallest value from a sample. |
mu |
numeric, represents the location parameter values. |
sigma |
numeric, represents scale parameter values. |
nu |
numeric, represents skewness parameter values |
tau |
numeric, represents kurtosis tau parameter values. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the K-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of a Skew normal type 1 distribution. |
A list with a random sample of order statistics from a Skew normal type 1 Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society. Applied Statistics, Series C.
library(orders) # A sample of size 10 of the 3-th order statistics from a Skew normal type 1 Distribution order_snormal1(size=10,mu=0,sigma=1,nu=0,tau=2,k=3,n=50,p=0.5,alpha=0.02)library(orders) # A sample of size 10 of the 3-th order statistics from a Skew normal type 1 Distribution order_snormal1(size=10,mu=0,sigma=1,nu=0,tau=2,k=3,n=50,p=0.5,alpha=0.02)
order_sstudentt is used to obtain a random sample of the k-th order statistic from a Skew student t distribution and some associated quantities of interest.
order_sstudentt(size, k, mu, sigma, nu, tau, n, p = 0.5, alpha = 0.05, ...)order_sstudentt(size, k, mu, sigma, nu, tau, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
k |
numeric, represents the K-th smallest value from a sample. |
mu |
numeric, represents the location parameter values. |
sigma |
numeric, represents scale parameter values. |
nu |
numeric, represents skewness parameter values |
tau |
numeric, represents kurtosis tau parameter values. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of a Skew student t Distribution. |
... |
represents others parameters of a Skew student t distribution. |
A list with a random sample of order statistics from a Skew student t Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society: Applied Statistics.
library(orders) # A sample of size 10 of the 3-th order statistics from a Skew student t Distribution order_sstudentt(size=10,k=3,mu=0,sigma=1,nu=0,tau=2,n=30,p=0.5,alpha=0.02)library(orders) # A sample of size 10 of the 3-th order statistics from a Skew student t Distribution order_sstudentt(size=10,k=3,mu=0,sigma=1,nu=0,tau=2,n=30,p=0.5,alpha=0.02)
order_tessg is used to obtain a random sample of the k-th order statistic from a Truncated-Exponential Skew-Symmetric G distribution.
order_tessg(size, spec, lambda, k, n, p = 0.5, alpha = 0.05, ...)order_tessg(size, spec, lambda, k, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
lambda |
numeric, represents the skewness parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Truncated-Exponential Skew-Symmetric G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from # a Truncated-Exponential Skew-Symmetric Exponential Distribution order_tessg(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Truncated-Exponential Skew-Symmetric Normal Distribution order_tessg(10,"norm",1,k=3,n=50,p=0.5,) # A sample of size 10 of the 3-th order statistics from # a Truncated-Exponential Skew-Symmetric Log-normal Distribution order_tessg(10,"lnorm",1,k=3,n=50,p=0.5,) # A sample of size 10 of the 3-th order statistics from # a Truncated-Exponential Skew-Symmetric Chi-square Distribution order_tessg(10,"chisq",1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from # a Truncated-Exponential Skew-Symmetric Exponential Distribution order_tessg(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from # a Truncated-Exponential Skew-Symmetric Normal Distribution order_tessg(10,"norm",1,k=3,n=50,p=0.5,) # A sample of size 10 of the 3-th order statistics from # a Truncated-Exponential Skew-Symmetric Log-normal Distribution order_tessg(10,"lnorm",1,k=3,n=50,p=0.5,) # A sample of size 10 of the 3-th order statistics from # a Truncated-Exponential Skew-Symmetric Chi-square Distribution order_tessg(10,"chisq",1,k=3,n=50,p=0.5,df=3)
order_weibullg is used to obtain a random sample of the k-th order statistic from a Weibull G distribution.
order_weibullg(size, spec, beta, c, k, n, p = 0.5, alpha = 0.02, ...)order_weibullg(size, spec, beta, c, k, n, p = 0.5, alpha = 0.02, ...)
size |
numeric, represents the size of the sample. |
spec |
character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq". |
beta |
numeric, represents the scale parameter. Default value is 1. |
c |
numeric, represents the shape parameter. Default value is 1. |
k |
numeric, represents the k-th smallest value from a sample. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the k-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of the G distribution. |
A list with a random sample of order statistics from a Weibull G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.
library(orders) # A sample of size 10 of the 3-th order statistics from a Weibull Exponential Distribution order_weibullg(10,"exp",beta=1,c=1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Weibull Normal Distribution order_weibullg(10,"norm",beta=1,c=1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Weibull Log-normal Distribution order_weibullg(10,"lnorm",beta=1,c=1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Weibull Chi-square Distribution order_weibullg(10,"chisq",beta=1,c=1,k=3,n=50,p=0.5,df=3)library(orders) # A sample of size 10 of the 3-th order statistics from a Weibull Exponential Distribution order_weibullg(10,"exp",beta=1,c=1,k=3,n=50,p=0.5,alpha=0.02) # A sample of size 10 of the 3-th order statistics from a Weibull Normal Distribution order_weibullg(10,"norm",beta=1,c=1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Weibull Log-normal Distribution order_weibullg(10,"lnorm",beta=1,c=1,k=3,n=50,p=0.5) # A sample of size 10 of the 3-th order statistics from a Weibull Chi-square Distribution order_weibullg(10,"chisq",beta=1,c=1,k=3,n=50,p=0.5,df=3)
order_zip is used to obtain a random sample of the k-th order statistic from a Zero Inflated Poisson distribution and some associated quantities of interest.
order_zip(size, k, mu, sigma, n, p = 0.5, alpha = 0.05, ...)order_zip(size, k, mu, sigma, n, p = 0.5, alpha = 0.05, ...)
size |
numeric, represents the size of the sample. |
k |
numeric, represents the K-th smallest value from a sample. |
mu |
numeric, represents the location parameter values. |
sigma |
numeric, represents scale parameter values. |
n |
numeric, represents the size of the sample to compute the order statistic from. |
p |
numeric, represents the 100p percentile for the distribution of the K-th order statistic. Default value is population median, p = 0.5. |
alpha |
numeric, (1 - alpha) represents the confidence of an interval for the population percentile p of the distribution of the k-th order statistic. Default value is 0.05. |
... |
represents others parameters of a Zero Inflated Poisson distribution. |
A list with a random sample of order statistics from a Zero Inflated Poisson Distribution, the value of its join probability density function evaluated in the random sample and and an approximate (1 - alpha) confidence interval for the population percentile p of the k-th order statistic.
Carlos Alberto Cardozo Delgado <[email protected]>.
Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.
Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society. Applied Statistics, Series C.
library(orders) # A sample of size 20 of the 5-th order statistics from a Zero Inflated Poisson Distribution #order_zip(size=10,k=5,mu=5,sigma=0.1,n=30,p=0.5)library(orders) # A sample of size 20 of the 5-th order statistics from a Zero Inflated Poisson Distribution #order_zip(size=10,k=5,mu=5,sigma=0.1,n=30,p=0.5)