
doi: 10.1111/stan.12176
A wide class of prior distributions for the Poisson‐gamma hierarchical model is proposed. Prior distributions in this class carry vague information in the sense that their tails exhibit slow decay. Conditions for the propriety of the resulting posterior density are determined, as well as for the existence of posterior moments of the Poisson rate of either an observed or an unobserved unit.
negative binomial sampling, reference prior, Jeffreys's prior, proper posterior, Bayesian inference, Exact distribution theory in statistics, existence of posterior moments, noninformative prior
negative binomial sampling, reference prior, Jeffreys's prior, proper posterior, Bayesian inference, Exact distribution theory in statistics, existence of posterior moments, noninformative prior
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