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arxiv: 0806.1173 · v1 · submitted 2008-06-06 · 🧮 math.PR

Asymptotics of posteriors for binary branching processes

classification 🧮 math.PR
keywords binarybranchinglimitprocessesasymptoticsavailablebayesiancases
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We compute the posterior distributions of the initial population and parameter of binary branching processes, in the limit of a large number of generations. We compare this Bayesian procedure with a more na\"ive one, based on hitting times of some random walks. In both cases, central limit theorems are available, with explicit variances.

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