Explicit stationary distribution of the $(L,1)$-reflecting random walk on the half line
Probability
2012-12-03 v1
Abstract
In this paper, we consider the state-dependent reflecting random walk (RW) on the half line, which is a RW allowing jumps to the left at a maxial size . For this model, we provide an explicit criterion for (positive) recurrence and an explicit expression for the stationary distribution.As an application, we prove the geometric tail asymptotic behavior of the stationary distribution under certain conditions. The main tool employed in the paper is the intrinsic branching structure within the -random walk.
Keywords
Cite
@article{arxiv.1211.7181,
title = {Explicit stationary distribution of the $(L,1)$-reflecting random walk on the half line},
author = {Wenming Hong and Ke Zhou and Yiqiang Q. Zhao},
journal= {arXiv preprint arXiv:1211.7181},
year = {2012}
}