Waiting time distributions for a run with additional constraints

DOI10.1016/J.JSPI.2005.09.011zbMath1368.62028OpenAlexW2093744113MaRDI QIDQ947251

Sigeo Aki, Katuomi Hirano

Publication date: 29 September 2008

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2005.09.011

zbMATH Keywords

conditional expectationwaiting timestart-up demonstration testsdiscrete distribution theorygeneralized probability generating functionrun

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Exact distribution theory in statistics (62E15)

Related Items (1)

Statistical modeling for discrete patterns in a sequence of exchangeable trials

Cites Work

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• Sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas
• Distributions of runs and consecutive systems on directed trees
• Start-up demonstration tests with rejection of units upon observing \(d\) failures
• On \(k\)-match problems
• Generalized waiting time problems associated with pattern in Polya's urn scheme
• Waiting time problems for a two-dimensional pattern
• Scan statistics

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