Central Limit Theorems for Supercritical Branching Markov Processes
Probability
2013-05-06 v1
Abstract
In this paper we establish spatial central limit theorems for a large class of supercritical branching Markov processes with general spatial-dependent branching mechanisms. These are generalizations of the spatial central limit theorems proved in [1], P. for branching OU processes with binary branching mechanisms. Compared with the results of [1], our central limit theorems are more satisfactory in the sense that the normal random variables in our theorems are non-degenerate.
Cite
@article{arxiv.1305.0610,
title = {Central Limit Theorems for Supercritical Branching Markov Processes},
author = {Y. -X. Ren and R. Song and R. Zhang},
journal= {arXiv preprint arXiv:1305.0610},
year = {2013}
}