A family of Abel series distributions of order k. | [Pakistan Journal of Statistics • 2008]

Author(s):

1. Rupak Gupta: Faculty of Engineering and Technology, The ICFAI University, Agartala, Tripura, India

2. Kishore K. Das: Department of Statistics, Gauhati University, Guwahati, Assam, India

3. Dulumoni Das: Department of Statistics, Cotton College, Guwahati, Assam, India

Abstract:

In this paper we have considered a class of univariate discrete distributions of order k, the Abel Series Distribution 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.

Page(s): 173-178

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 24, Issue: 3, Year: 2008

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