Package: asymmetry.measures 0.2

Dimitrios Bagkavos

asymmetry.measures: Asymmetry Measures for Probability Density Functions

Provides functions and examples for the weak and strong density asymmetry measures in the articles: "A measure of asymmetry", Patil, Patil and Bagkavos (2012) <doi:10.1007/s00362-011-0401-6> and "A measure of asymmetry based on a new necessary and sufficient condition for symmetry", Patil, Bagkavos and Wood (2014) <doi:10.1007/s13171-013-0034-z>. The measures provided here are useful for quantifying the asymmetry of the shape of a density of a random variable. The package facilitates implementation of the measures which are applicable in a variety of fields including e.g. probability theory, statistics and economics.

Authors:Dimitrios Bagkavos [aut, cre], Lucia Gamez [aut]

asymmetry.measures_0.2.tar.gz
asymmetry.measures_0.2.tar.gz(r-4.5-noble)asymmetry.measures_0.2.tar.gz(r-4.4-noble)
asymmetry.measures_0.2.tgz(r-4.4-emscripten)asymmetry.measures_0.2.tgz(r-4.3-emscripten)
asymmetry.measures.pdf |asymmetry.measures.html✨
asymmetry.measures/json (API)

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

Peer review:

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This package does not link to any Github/Gitlab/R-forge repository. No issue tracker or development information is available.

26 exports 0.00 score 12 dependencies 305 downloads

Last updated 4 years agofrom:5a4800ce6a. Checks:OK: 1 NOTE: 1. Indexed: yes.

TargetResultDate
Doc / VignettesOKSep 15 2024
R-4.5-linuxNOTESep 15 2024

Exports:d.sampleedfEpanechnikoveta.seta.s.exacteta.w.breveeta.w.breve.bceta.w.hateta.w.hat.bceta.w.tildeeta.w.tilde.bcIntEpanechnikovIntKdekdep.samplepdfsqpdfsqcdfpdfsqcdfstarpdfthirdq.sampler.sampleRho.pRho.p.exactRhostar.pRhostar.p.exactSimpsonInt

Dependencies:gamlss.distlatticeMASSMatrixMatrixModelsmnormtnumDerivquantregskewtsnSparseMsurvival

Readme and manuals

Help Manual

Help pageTopics
Switch between a range of probability density functions.d.sample
Empirical cummulative distribution functionedf
Epanechnikov kernelEpanechnikov
Strong asymmetry measure eta(X).eta.s
Strong asymmetry measure eta(X).eta.s.exact
Asymmetry coefficient \breve{eta}eta.w.breve
Asymmetry coefficient \breve{eta} using boundary correctioneta.w.breve.bc
Asymmetry coefficient \hat{eta}eta.w.hat
Asymmetry coefficient \hat{eta} using boundary correctioneta.w.hat.bc
Asymmetry coefficient \tilde{eta}eta.w.tilde
Asymmetry coefficient \tilde{eta} using boundary correctioneta.w.tilde.bc
annual Gross Domestic Product (GDP) per head across 15 European Union (EU) countriesGDP.Per.head.dist.1995
annual Gross Domestic Product (GDP) per head across 15 European Union (EU) countriesGDP.Per.head.dist.2005
Integrated Epanechnikov functionIntEpanechnikov
Integrated Kernel density estimatorIntKde
Kernel density estimator.kde
Switch between a range of available cumulative distribution functions.p.sample
Calculate f^2(x)pdfsq
Calculate f^2(x)F(x)pdfsqcdf
Calculate f^2(x)(1-F(x)).pdfsqcdfstar
Calculate f^3(x)pdfthird
Switch between a range of available quantile functions.q.sample
Switch between a range of available random number generators.r.sample
Calculates rho_p, used in the implementation of the strong asymmetry measure eta(X).Rho.p
Calculates the exact value rho_p, used in the implementation of the strong asymmetry measure eta(X).Rho.p.exact
Calculates rho_p^*, used in the implementation of the strong asymmetry measure eta(X).Rhostar.p
Calculates the exact value of rho_p^*, used in the implementation of the strong asymmetry measure eta(X).Rhostar.p.exact
Simpson integrationSimpsonInt