Some results associated with the longest run in a strongly ergodic Markov chain
type: Item
instance of: scholarly article
title: Some results associated with the longest run in a strongly ergodic Markov chain
zbMATH Open document ID: 1274.05042
author: Xian Yuan Wu
author: Ya Zhe Zhang
publication date: 2013-11-15T00:00:00Z
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 6227340
zbMATH Keywords: longest run
zbMATH Keywords: Stein-Chen method
zbMATH Keywords: Poisson approximation
MaRDI profile type: Publication
full work available at URL: s10114-013-2549-6
OpenAlex ID: W2066780163
cites work: Poisson approximation and the Chen-Stein method. With comments and a rejoinder by the authors
cites work: Two moments suffice for Poisson approximations: The Chen-Stein method
cites work: An approximation theorem for sums of certain randomly selected indicators
cites work: Poisson approximation for dependent trials
cites work: Poisson approximation for the non-overlapping appearances of several words in Markov chains
cites work: Compound Poisson approximation for counts of rare patterns in Markov chains and extreme sojourns in birth-death chains.
cites work: On the length of the longest run in a multi-state Markov chain.
cites work: Q4715955
cites work: On Runs and Longest Run Tests: A Method of Finite Markov Chain Imbedding
cites work: Longest runs in a sequence of \(m\)-dependent random variables
cites work: On the Length of the Longest Head-Run for a Markov Chain with Two States
DOI: 10.1007/S10114-013-2549-6
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 6227340