Number of occurrences of subpattern until the first appearance of a pattern and geometric distribution.

DOI10.1016/j.spl.2003.08.001zbMath1054.60004OpenAlexW2057251259MaRDI QIDQ1423085

Katuomi Hirano, Sigeo Aki

Publication date: 14 February 2004

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

Full work available at URL: https://doi.org/10.1016/j.spl.2003.08.001

zbMATH Keywords

Conditional distributionProbability generating functionGeometric distributionPatternWaiting time problem

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Combinatorial probability (60C05)

Related Items (4)

On occurrence of patterns in Markov chains: Method of gambling teams ⋮ On waiting time distributions associated with compound patterns in a sequence of multi-state trials ⋮ Scan statistics for monitoring data modeled by a negative binomial distribution ⋮ On occurrence of subpattern and method of gambling teams

Cites Work

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• Joint distributions of numbers of success-runs and failures until the first consecutive \(k\) successes
• Numbers of success-runs of specified length until certain stopping time rules and generalized binomial distributions of order \(k\)

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