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On a class of discrete distributions arising from the birth-death-with-immigration process

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Abstract

This paper considers a class of distributions which may be regarded as the convolution of a negative binomial and a stopped-sum generalized hypergeometric factorial-moment random variables. Some properties are derived and it is shown that this class of distributions is a subset of distributions for the birth-and-death process with immigration (also reversible counter system). Formulations by mixing, limiting distributions and maximum likelihood equations are also discussed.

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Authors and Affiliations

  1. Department of Mathematics, University of Malaya, 59100, Kuala Lumpur, Malaysia

    S. H. Ong

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  1. S. H. Ong
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Ong, S.H. On a class of discrete distributions arising from the birth-death-with-immigration process. Metrika 43, 221–235 (1996). https://doi.org/10.1007/BF02613910

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  • DOI: https://doi.org/10.1007/BF02613910

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