Distribution and double generating function of number of patterns in a sequence of Markov dependent multistate trials

DOI10.1007/S10463-010-0300-YzbMath1441.60010OpenAlexW2130541178MaRDI QIDQ421402

Yung-Ming Chang, James C. Fu, Han-Ying Lin

Publication date: 23 May 2012

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-010-0300-y

zbMATH Keywords

finite Markov chain imbeddingprobability generating functionwaiting timedouble generating functionsimple and compound patterns

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05)

Related Items (2)

Recursive equations in finite Markov chain imbedding ⋮ On the individuals chart with supplementary runs rules under serial dependence

Cites Work

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• Waiting time distributions of simple and compound patterns in a sequence of \(r\)th order Markov dependent multi-state trials
• Distribution of waiting time until the \(r\)th occurrence of a compound pattern
• On probability generating functions for waiting time distributions of compound patterns in a sequence of multistate trials
• Distribution Theory of Runs: A Markov Chain Approach
• Run Statistics Defined on the Multicolor URN Model

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