Statistics Papers

Document Type

Journal Article

Date of this Version

3-2006

Publication Source

Journal of Applied Probability

Volume

43

Issue

1

Start Page

127

Last Page

140

DOI

10.1017/S0021900200001418

Abstract

Methods using gambling teams and martingales are developed and applied to find formulas for the expected value and the generating function of the waiting time until one observes an element of a finite collection of patterns in a sequence which is generated by a two-state first or higher order Markov chain.

Copyright/Permission Statement

This article has been published in a revised form in Journal of Applied Probability [10.1017/S0021900200001418]. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © Cambridge University Press.

Keywords

Gambling, teams, waiting times, patterns, success runs, failure runs, Markov chains, martingales, stopping times, generating functions

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Date Posted: 27 November 2017

This document has been peer reviewed.