On the bivariate negative binomial distribution of mitchell and paulson

S. H. Ong and P. A. Lee

Naval Research Logistics Quarterly, 1985, vol. 32, issue 3, 457-465

Abstract: The bivariate negative binomial distribution of Mitchell and Paulson [17] for the case b = c = 0 is shown to be equivalent to the accident proneness model of Edwards and Gurland [4] and Subrahmaniam [19,20]. The diagonal series expansion of its joint probability function is then derived. Two other formulations of this distribution are also considered: (i) as a mixture model, which showed how it arises as the discrete analogue to the Wicksell‐Kibble bivariate gamma distribution, and (ii) as a consequence of the linear birth‐and‐death process with immigration.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:32:y:1985:i:3:p:457-465

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