Patterns generated by \(m\)th-order Markov chains
type: Item
instance of: scholarly article
title: Patterns generated by \(m\)th-order Markov chains
zbMATH Open document ID: 1200.60061
author: Evan Fisher
author: Shiliang Cui
published in: Statistics \& Probability Letters
publication date: 2010-07-13T00:00:00Z
review text: The authors consider \(m\)-th order Markov chain on finite state space and obtain a closed form expression for the expected time. This result generalizes theorems of \textit{S.-Y. R. Li} [Ann. Probab. 8, 1171--1176 (1980; Zbl 0447.60006)] and \textit{R. V. Benevento} [Stochastic Processes Appl. 17, 369--373 (1984; Zbl 0535.60057)].
reviewed by: Alexander I. Zejfman
Mathematics Subject Classification ID: 60J10
Mathematics Subject Classification ID: 60J99
zbMATH DE Number: 5736370
zbMATH Keywords: high-order Markov chain
zbMATH Keywords: waiting time
zbMATH Keywords: pattern
MaRDI profile type: Publication
full work available at URL: j.spl.2010.03.011
OpenAlex ID: W1970584226
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DOI: 10.1016/J.SPL.2010.03.011
description: scientific article; zbMATH DE number 5736370