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LambertW: Probabilistic Models to Analyze and Gaussianize Heavy-Tailed,Skewed Data

Lambert W x F distributions are a generalized framework to analyze skewed, heavy-tailed data. It is based on an input/output system, where the output random variable (RV) Y is a non-linearly transformed version of an input RV X ~ F with similar properties as X, but slightly skewed (heavy-tailed). The transformed RV Y has a Lambert W x F distribution. This package contains functions to model and analyze skewed, heavy-tailed data the Lambert Way: simulate random samples, estimate parameters, compute quantiles, and plot/ print results nicely. The most useful function is 'Gaussianize', which works similarly to 'scale', but actually makes the data Gaussian. A do-it-yourself toolkit allows users to define their own Lambert W x 'MyFavoriteDistribution' and use it in their analysis right away.

Version:0.6.9-2
Depends:MASS,ggplot2
Imports:lamW (≥ 1.3.0), stats, graphics, grDevices,RColorBrewer,reshape2,Rcpp (≥ 1.0.4), methods
LinkingTo:Rcpp,lamW
Suggests:boot,Rsolnp,nortest,numDeriv,testthat,data.table,moments,knitr,markdown,vars
Published:2025-08-21
DOI:10.32614/CRAN.package.LambertW
Author:Georg M. Goerg [aut, cre]
Maintainer:Georg M. Goerg <im at gmge.org>
BugReports:https://github.com/gmgeorg/LambertW/issues
License:GPL-2 |GPL-3 [expanded from: GPL (≥ 2)]
URL:https://github.com/gmgeorg/LambertW,https://arxiv.org/abs/0912.4554,https://arxiv.org/abs/1010.2265,https://arxiv.org/abs/1602.02200
NeedsCompilation:yes
Citation:LambertW citation info
Materials:README,NEWS
In views:Distributions
CRAN checks:LambertW results

Documentation:

Reference manual:LambertW.html ,LambertW.pdf
Vignettes:LambertW Overview (source,R code)

Downloads:

Package source: LambertW_0.6.9-2.tar.gz
Windows binaries: r-devel:LambertW_0.6.9-2.zip, r-release:LambertW_0.6.9-2.zip, r-oldrel:LambertW_0.6.9-2.zip
macOS binaries: r-release (arm64):LambertW_0.6.9-2.tgz, r-oldrel (arm64):LambertW_0.6.9-2.tgz, r-release (x86_64):LambertW_0.6.9-2.tgz, r-oldrel (x86_64):LambertW_0.6.9-2.tgz
Old sources: LambertW archive

Reverse dependencies:

Reverse depends:WordOfMouth
Reverse imports:bellreg,bestNormalize,CryptRndTest,optband,PGaGEV,shorts
Reverse suggests:rsurv

Linking:

Please use the canonical formhttps://CRAN.R-project.org/package=LambertWto link to this page.


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