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The Bivariate Confluent Hypergeometric Series Distribution and Some of Its Properties

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  • Kumar C. Satheesh

    (Department of Statistics, University of Kerala, Trivandrum-695 581, India)

Abstract

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.

Suggested Citation

  • Kumar C. Satheesh, 2013. "The Bivariate Confluent Hypergeometric Series Distribution and Some of Its Properties," Stochastics and Quality Control, De Gruyter, vol. 28(1), pages 23-30, October.
    • Handle: RePEc:bpj:ecqcon:v:28:y:2013:i:1:p:23-30:n:4
    DOI: 10.1515/eqc-2013-0009
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    References listed on IDEAS

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    1. C. Satheesh Kumar, 2008. "A unified approach to bivariate discrete distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 67(1), pages 113-123, January.
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