Asymptotics of posteriors for binary branching processes
Probability
2008-12-18 v1
Abstract
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.
Cite
@article{arxiv.0806.1173,
title = {Asymptotics of posteriors for binary branching processes},
author = {Didier Piau},
journal= {arXiv preprint arXiv:0806.1173},
year = {2008}
}
Comments
21 pages