Package: gkwdist 1.1.4

José Evandeilton Lopes

gkwdist: Generalized Kumaraswamy Distribution Family

Implements the five-parameter Generalized Kumaraswamy ('gkw') distribution proposed by 'Carrasco, Ferrari and Cordeiro (2010)' <doi:10.48550/arXiv.1004.0911> and its seven nested sub-families for modeling bounded continuous data on the unit interval (0,1). The 'gkw' distribution extends the Kumaraswamy distribution described by Jones (2009) <doi:10.1016/j.stamet.2008.04.001>. Provides density, distribution, quantile, and random generation functions, along with analytical log-likelihood, gradient, and Hessian functions implemented in 'C++' via 'RcppArmadillo' for maximum computational efficiency. Suitable for modeling proportions, rates, percentages, and indices exhibiting complex features such as asymmetry, or heavy tails and other shapes not adequately captured by standard distributions like simple Beta or Kumaraswamy.

Authors:José Evandeilton Lopes [aut, cre]

gkwdist_1.1.4.tar.gz
gkwdist_1.1.4.tar.gz(r-4.7-arm64)gkwdist_1.1.4.tar.gz(r-4.7-x86_64)gkwdist_1.1.4.tar.gz(r-4.6-arm64)gkwdist_1.1.4.tar.gz(r-4.6-x86_64)
gkwdist_1.1.4.tgz(r-4.6-emscripten)
manual.pdf |manual.html
card.svg |card.png
gkwdist/json (API)
NEWS

# Install 'gkwdist' in R:
install.packages('gkwdist', repos = c('https://cran.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/evandeilton/gkwdist/issues

Pkgdown/docs site:https://evandeilton.github.io

Uses libs:
  • openblas– Optimized BLAS
  • c++– GNU Standard C++ Library v3
  • openmp– GCC OpenMP (GOMP) support library

On CRAN:

Conda:

openblascppopenmp

4.56 score 1 packages 24 scripts 586 downloads 51 exports 4 dependencies

Last updated from:e51d8f347d. Checks:6 OK. Indexed: no.

TargetResultTimeFilesSyslog
linux-devel-arm64OK179
linux-devel-x86_64OK168
source / vignettesOK261
linux-release-arm64OK176
linux-release-x86_64OK172
wasm-releaseOK148

Exports:%>%dbeta_dbkwdekwdgkwdkkwdkwdmcgkwgetstartvaluesgrbetagrbkwgrekwgrgkwgrkkwgrkwgrmchsbetahsbkwhsekwhsgkwhskkwhskwhsmcllbetallbkwllekwllgkwllkkwllkwllmcpbeta_pbkwpekwpgkwpkkwpkwpmcqbeta_qbkwqekwqgkwqkkwqkwqmcrbeta_rbkwrekwrgkwrkkwrkwrmc

Dependencies:magrittrnumDerivRcppRcppArmadillo

Introduction to gkwdist: Generalized Kumaraswamy Distribution Family

Rendered frominto-gkwdist.Rmdusingknitr::rmarkdownon May 28 2026.

Last update: 2025-11-27
Started: 2025-11-13

On the Statistical Properties and Computational Inference of the Generalized Kumaraswamy Distribution Family

Rendered fromtheory-gkwdist.Rmdusingknitr::rmarkdownon May 28 2026.

Last update: 2025-11-27
Started: 2025-11-27

Readme and manuals

Help Manual

Help pageTopics
Density of the Beta Distribution (gamma, delta+1 Parameterization)dbeta_
Density of the Beta-Kumaraswamy (BKw) Distributiondbkw
Density of the Exponentiated Kumaraswamy (EKw) Distributiondekw
Density of the Generalized Kumaraswamy Distributiondgkw
Density of the Kumaraswamy-Kumaraswamy (kkw) Distributiondkkw
Density of the Kumaraswamy (Kw) Distributiondkw
Density of the McDonald (Mc)/Beta Power Distribution Distributiondmc
Estimate Distribution Parameters Using Method of Momentsgkwgetstartvalues
Gradient of the Negative Log-Likelihood for the Beta Distribution (gamma, delta+1 Parameterization)grbeta
Gradient of the Negative Log-Likelihood for the BKw Distributiongrbkw
Gradient of the Negative Log-Likelihood for the EKw Distributiongrekw
Gradient of the Negative Log-Likelihood for the GKw Distributiongrgkw
Gradient of the Negative Log-Likelihood for the kkw Distributiongrkkw
Gradient of the Negative Log-Likelihood for the Kumaraswamy (Kw) Distributiongrkw
Gradient of the Negative Log-Likelihood for the McDonald (Mc)/Beta Power Distributiongrmc
Hessian Matrix of the Negative Log-Likelihood for the Beta Distribution (gamma, delta+1 Parameterization)hsbeta
Hessian Matrix of the Negative Log-Likelihood for the BKw Distributionhsbkw
Hessian Matrix of the Negative Log-Likelihood for the EKw Distributionhsekw
Hessian Matrix of the Negative Log-Likelihood for the GKw Distributionhsgkw
Hessian Matrix of the Negative Log-Likelihood for the kkw Distributionhskkw
Hessian Matrix of the Negative Log-Likelihood for the Kw Distributionhskw
Hessian Matrix of the Negative Log-Likelihood for the McDonald (Mc)/Beta Power Distributionhsmc
Negative Log-Likelihood for the Beta Distribution (gamma, delta+1 Parameterization)llbeta
Negative Log-Likelihood for Beta-Kumaraswamy (BKw) Distributionllbkw
Negative Log-Likelihood for the Exponentiated Kumaraswamy (EKw) Distributionllekw
Negative Log-Likelihood for the Generalized Kumaraswamy Distributionllgkw
Negative Log-Likelihood for the kkw Distributionllkkw
Negative Log-Likelihood of the Kumaraswamy (Kw) Distributionllkw
Negative Log-Likelihood for the McDonald (Mc)/Beta Power Distributionllmc
CDF of the Beta Distribution (gamma, delta+1 Parameterization)pbeta_
Cumulative Distribution Function (CDF) of the Beta-Kumaraswamy (BKw) Distributionpbkw
Cumulative Distribution Function (CDF) of the EKw Distributionpekw
Generalized Kumaraswamy Distribution CDFpgkw
Cumulative Distribution Function (CDF) of the kkw Distributionpkkw
Cumulative Distribution Function (CDF) of the Kumaraswamy (Kw) Distributionpkw
CDF of the McDonald (Mc)/Beta Power Distributionpmc
Quantile Function of the Beta Distribution (gamma, delta+1 Parameterization)qbeta_
Quantile Function of the Beta-Kumaraswamy (BKw) Distributionqbkw
Quantile Function of the Exponentiated Kumaraswamy (EKw) Distributionqekw
Generalized Kumaraswamy Distribution Quantile Functionqgkw
Quantile Function of the Kumaraswamy-Kumaraswamy (kkw) Distributionqkkw
Quantile Function of the Kumaraswamy (Kw) Distributionqkw
Quantile Function of the McDonald (Mc)/Beta Power Distributionqmc
Random Generation for the Beta Distribution (gamma, delta+1 Parameterization)rbeta_
Random Number Generation for the Beta-Kumaraswamy (BKw) Distributionrbkw
Random Number Generation for the Exponentiated Kumaraswamy (EKw) Distributionrekw
Generalized Kumaraswamy Distribution Random Generationrgkw
Random Number Generation for the kkw Distributionrkkw
Random Number Generation for the Kumaraswamy (Kw) Distributionrkw
Random Number Generation for the McDonald (Mc)/Beta Power Distributionrmc