Spine decompositions and limit theorems for a class of critical superprocesses
Probability
2019-02-04 v2
Abstract
In this paper, we first establish a decomposition theorem for size-biased Poisson random measures. As consequences of this decomposition theorem, we get a spine decomposition theorem and a 2-spine decomposition theorem for some critical superprocesses. Then we use these spine decomposition theorems to give probabilistic proofs of the asymptotic behavior of the survival probability and Yaglom's exponential limit law for critical superprocesses.
Keywords
Cite
@article{arxiv.1711.09188,
title = {Spine decompositions and limit theorems for a class of critical superprocesses},
author = {Yan-Xia Ren and Renming Song and Zhenyao Sun},
journal= {arXiv preprint arXiv:1711.09188},
year = {2019}
}