The Bivariate Confluent Hypergeometric Series Distribution and Some of Its Properties

In this paper we develop a bivariate version of the confluent hypergeometric series distribution through its probability generating function and study some of its properties by deriving its probability mass function, factorial moments, probability generating functions of its marginal and conditional...

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Bibliographic Details
Published inStochastics and quality control (Online) Vol. 28; no. 1; p. 23
Main Author Kumar, C Satheesh
Format Journal Article
LanguageEnglish
Published Berlin Walter de Gruyter GmbH 01.01.2013
Subjects
Bernoulli Hypothesis
Probability
Random variables
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ISSN2367-2390
2367-2404
DOI10.1515/eqc-2013-0009

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Summary:In this paper we develop a bivariate version of the confluent hypergeometric series distribution through its probability generating function and study some of its properties by deriving its probability mass function, factorial moments, probability generating functions of its marginal and conditional distributions and recursion formulae for probabilities, raw moments and factorial moments. Further certain mixtures and limiting cases of this distribution are also obtained.
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ISSN:2367-2390
2367-2404
DOI:10.1515/eqc-2013-0009