Zipf Extended Distributions
Calculates initial values for the parameters of the models.
The Marshal-Olkin Extended Zipf Distribution (MOEZipf).
MOEZipf parameters estimation.
Expected value.
Distribution Moments.
Variance of the MOEZipf distribution.
The Zero Inflated Zipf-Poisson Stop Sum Distribution (ZI Zipf-PSS).
Zero Inflated Zipf-PSS parameters estimation.
The Zipf-Poisson Extreme Distribution (Zipf-PE).
Zipf-PE parameters estimation.
Expected value of the Zipf-PE distribution.
Distribution Moments.
Variance of the Zipf-PE distribution.
The Zipf-Polylog Distribution (Zipf-Polylog).
ZipfPolylog parameters estimation.
Expected value of the ZipfPolylog distribution.
Moments of the Zipf-Polylog Distribution.
Variance of the ZipfPolylog distribution.
The Zipf-Poisson Stop Sum Distribution (Zipf-PSS).
Zipf-PSS parameters estimation.
Expected value of the Zipf-PSS distribution.
Distribution Moments.
Variance of the Zipf-PSS distribution.
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) and the Zipf-Polylog distributions. 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.