The empirical mean position of a branching L\'evy process
Probability
2020-11-25 v2
Abstract
We consider a supercritical branching L\'evy process on the real line. Under mild moment assumptions on the number of offspring and their displacements, we prove a second-order limit theorem on the empirical mean position.
Cite
@article{arxiv.2002.00450,
title = {The empirical mean position of a branching L\'evy process},
author = {David Cheek and Seva Shneer},
journal= {arXiv preprint arXiv:2002.00450},
year = {2020}
}