CIRJE-F-361 "On a Limiting quasi-multinomial distribution"
Author Name Hoshino, Nobuaki
Date August 2005
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Abstract

A random clustering distribution is useful for modeling count data. The present article derives a new distribution of this type from the Lagrangian Poisson distribution, based on the result that any infinitely divisible distribution over nonnegative integers produces a random clustering distribution through conditioning and a limiting argument that is equivalent to the law of small numbers. The resulting distribution is shown to be tractable. Its application is also presented.