Article

A FAMILY OF ABEL SERIES DISTRIBUTIONS OF ORDER k

Pak. J. Statist. 2008 Vol. 24(3), 01/2008; 24:173-178.

ABSTRACT In this paper we have considered a class of univariate discrete distributions of order k,
the Abel Series Distributions of order k (ASD(k)) generated by suitable functions of real
valued parameters in the Abel polynomials. A new distribution called the Quasi
Logarithmic Series Distribution of order k (QLSD(k)) is derived from ASD(k) and many
other distributions, viz. Quasi Binomial distributions of order k (QBD(k)), Generalized
Poison distribution of order k (GPD(k)) and Quasi negative binomial distribution of order
k (QNBD (k)) have been derived as particular cases of ASDs of order k. Some properties
have also been discussed.

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