Exact fluctuation results for Markov-dependent coin-tossing

Author:

Darroch J. N.,Whitford Heather J.

Abstract

Feller (1968) showed that the probability functions of each of three random variables associated with coin-tossing (independent, simple, symmetric random walk) are (a) the same (except at the end points), (b) approximately arc-sine. In this paper these two properties are shown to hold for Markov-dependent coin-tossing (Markov-dependent, simple, symmetric random walk).

Publisher

Cambridge University Press (CUP)

Subject

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

Reference5 articles.

1. On extremal factorization and recurrent events;Heyde;J. R. Statist. Soc.,1969

2. Identities for passage times with applications to recurrent events and homogeneous differential functions

3. The correlated unrestricted random walk;Seth;J. R. Statist. Soc.,1963

4. An arcsine law for Markov chains

Cited by 3 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. Some explicit results for correlated random walks;Journal of Applied Probability;1989-12

2. Some explicit results for correlated random walks;Journal of Applied Probability;1989-12

3. Fluctuation Results for Markov-Dependent Trials;SIAM Journal on Algebraic Discrete Methods;1981-12

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