Asymptotics of posteriors for binary branching processes

Details Asymptotics of posteriors for binary branching processes Asymptotics of posteriors for binary branching processes

2008-06-06

arxiv.org/abs/0806.1173v1

Mathematics

Probability

21 pages

Scientific paper

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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