A note on random walks

Author:

Phatarfod R. M.,Speed T. P.,Walker A. M.

Abstract

Let {Xn } be a random walk between reflecting barriers at 0 and a > 0 with jumps {Zn }. By we mean the random walk between absorbing barriers at — a and 0+ with the same jumps {Zn }. It has been known for some time that when {Zn } is a sequence of mutually independent and identically distributed random variables, and 0 ≦x <a, we have for all n:

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The geometricity of the limiting distributions in queues and dams;Journal of Applied Probability;1993-06

2. Sums and weighted sums of a gamma Markov sequence;Journal of Applied Probability;1988-03

3. Transient behavior of regulated Brownian motion, I: Starting at the origin;Advances in Applied Probability;1987-09

4. On a generalized finite-capacity storage model;Journal of Applied Probability;1983-09

5. One-sided excursions of brownian motion, and an application;Journal of Applied Probability;1978-09

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