The purpose of this paper is to obtain Bayes estimators for both the offspring and life-length distribution in the context of a Bellman-Harris age-dependent branching process. We take a non-parametric approach by letting the prior random distributions, for the offspring and life-length...

The purpose of this note is to show that the conditional distribution of a Dirichlet process P given n independent observations X1... Xn from P and belonging to measurable sets A1,... An with A1 [subset, double equals] A1+1 for i=1,... n=1 is a mixture of Dirichlet processes as introduced by...