Joint distributions of numbers of success-runs until the first consecutive \(k\) successes in a higher-order two-state Markov chain

DOI10.1023/A:1003489713112zbMath0923.60013MaRDI QIDQ1265212

Masayuki Uchida

Publication date: 8 April 1999

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

zbMATH Keywords

geometric distribution of order \(k\)\(m\)-order Markov chain

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

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A direct method to obtain the joint distribution of successes, failures and patterns in enumeration problems ⋮ Distributions of Runs and Scans on Higher-Order Markov Trees

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