CIRJE-F-361 | "On a Limiting quasi-multinomial distribution" |
Author Name | Hoshino, Nobuaki |
Date | August 2005 |
Full Paper | PDF file@ |
Remarks | @ |
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. |