On the joint distribution of runs in a sequence of multi-state trials

DOI10.1016/S0167-7152(98)00051-0zbMath0910.60054MaRDI QIDQ1265949

Eiji Yamamoto, Masayuki Doi

Publication date: 1998

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

Markov chainjoint distributionrunmultiple states

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05)

Related Items (11)

On the distribution of the total number of run lengths ⋮ Joint distributions associated with patterns, successes and failures in a sequence of multi-state trials ⋮ Run and frequency quotas in a multi-state markov chain ⋮ Quotas on runs of successes and failures in a multi-state markov chain ⋮ Joint distributions of runs in a sequence of higher-order two-state Markov trials ⋮ Exact and asymptotic results for pattern waiting times ⋮ Central Limit Theorem Approximations for the Number of Runs in Markov-dependent Multi-type Sequences ⋮ On the joint distribution of runs in the sequence of Markov-dependent multi-state trials ⋮ On exact and large deviation approximation for the distribution of the longest run in a sequence of two-state Markov dependent trials ⋮ On ordered series and later waiting time distributions in a sequence of Markov dependent multistate trials ⋮ Bivariate Markov chain embeddable variables of polynomial type

Cites Work

• On binomial distributions of order k
• Distribution Theory of Runs: A Markov Chain Approach
• The Distribution Theory of Runs
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