Local limit theorems for ladder epochs
Probability
2007-05-23 v1
Abstract
Let {S_n, n=0,1,2,...} be a random walk generated by a sequence of i.i.d. random variables X_1, X_2,... and let tau be the first descending ladder epoch. Assuming that the distribution of X_1 belongs to the domain of attraction of an alpha-stable law, we study the asymptotic behavior of P(tau=n).
Cite
@article{arxiv.math/0701914,
title = {Local limit theorems for ladder epochs},
author = {Vladimir Vatutin and Vitali Wachtel},
journal= {arXiv preprint arXiv:math/0701914},
year = {2007}
}
Comments
21 pages