A Generic Multivariate Distribution for Counting Data

Details A Generic Multivariate Distribution for Counting Data A Generic Multivariate Distribution for Counting Data

2011-03-24

arxiv.org/abs/1103.4866v1

Statistics

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9 pages, 1 fgure, 1 table

Scientific paper

Motivated by the need, in some Bayesian likelihood free inference problems, of imputing a multivariate counting distribution based on its vector of means and variance-covariance matrix, we define a generic multivariate discrete distribution. Based on blending the Binomial, Poisson and Negative-Binomial distributions, and using a normal multivariate copula, the required distribution is defined. This distribution tends to the Multivariate Normal for large counts and has an approximate pmf version that is quite simple to evaluate.

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