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Let $X$ have a Generalized Poisson distribution with mean $kb$, where $b$ isa known constant in the unit interval and $k$ is a discrete, non-negativeparameter. We show that if an uninformative uniform prior for $k$ is assumed,then the posterior distribution of $k$ can be approximated using the gammadistribution when $b$ is small.

A gamma approximation to the Bayesian posterior distribution of a discrete parameter of the Generalized Poisson model