Open Access
June 2009 A new class of discrete distributions
C. Satheesh Kumar
Braz. J. Probab. Stat. 23(1): 49-56 (June 2009). DOI: 10.1214/08-BJPS003

Abstract

A new class of discrete distributions is introduced by extending the generalized hypergeometric recast distribution; some of its properties are studied. It is shown that all its moments exist finitely. A genesis, probability mass function, mean and variance are obtained. Certain recurrence relations for probabilities, moments and factorial moments are derived. Certain mixtures and limiting cases are also considered.

Citation

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C. Satheesh Kumar. "A new class of discrete distributions." Braz. J. Probab. Stat. 23 (1) 49 - 56, June 2009. https://doi.org/10.1214/08-BJPS003

Information

Published: June 2009
First available in Project Euclid: 18 June 2009

zbMATH: 1298.60026
MathSciNet: MR2575422
Digital Object Identifier: 10.1214/08-BJPS003

Keywords: Generalized Gegenbauer distribution , generalized Hermite distribution , generalized hypergeometric function , generalized hypergeometric recast distribution , mixtures , probability generating function

Rights: Copyright © 2009 Brazilian Statistical Association

Vol.23 • No. 1 • June 2009
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