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zipfextR

Implementation of four extensions of the Zipf distribution: the Marshall-Olkin Extended Zipf (MOEZipf) Pérez-Casany, M., & Casellas, A. (2013) arXiv:1304.4540, the Zipf-Poisson Extreme (Zipf-PE), the Zipf-Poisson Stopped Sum (Zipf-PSS) distributions and the Zipf-Polylog. In log-log scale, the two first extensions allow for top-concavity and top-convexity while the third one only allows for top-concavity. All the extensions maintain the linearity associated with the Zipf model in the tail.

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Install

install.packages('zipfextR')

Monthly Downloads

125

Version

1.0.2

License

GPL-3

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Maintainer

Ariel Duarte-López

Last Published

July 7th, 2020

Functions in zipfextR (1.0.2)

zipfpe

The Zipf-Poisson Extreme Distribution (Zipf-PE).
zipfpssMoments

Distribution Moments.
zipfpeMoments

Distribution Moments.
zipfpssMean

Expected value of the Zipf-PSS distribution.
zipfpeMean

Expected value of the Zipf-PE distribution.
zipfpss

The Zipf-Poisson Stop Sum Distribution (Zipf-PSS).
zipfpssFit

Zipf-PSS parameters estimation.
zipfpeFit

Zipf-PE parameters estimation.
zipfpssVariance

Variance of the Zipf-PSS distribution.
zipfpolylogMoments

Moments of the Zipf-Polylog Distribution.
zipfpoylogVariance

Variance of the ZipfPolylog distribution.
moezipfVariance

Variance of the MOEZipf distribution.
zipfpeVariance

Variance of the Zipf-PE distribution.
zipfpolylogMean

Expected value of the ZipfPolylog distribution.
moezipfMoments

Distribution Moments.
moezipfFit

MOEZipf parameters estimation.
moezipf

The Marshal-Olkin Extended Zipf Distribution (MOEZipf).
moezipfMean

Expected value.
getInitialValues

Calculates initial values for the parameters of the models.
zipfPolylog

The Zipf-Polylog Distribution (Zipf-Polylog).
zipfPolylogFit

ZipfPolylog parameters estimation.
zi_zipfpss

The Zero Inflated Zipf-Poisson Stop Sum Distribution (ZI Zipf-PSS).
zi_zipfpssFit

Zero Inflated Zipf-PSS parameters estimation.