Distributions of patterns of two successes separated by a string of \(k-2\) failures

DOI10.1007/s00362-010-0340-7zbMath1440.60018OpenAlexW2005821974WikidataQ56010505 ScholiaQ56010505MaRDI QIDQ452297

Andreas N. Philippou, Spiros D. Dafnis, Demetrios L. Antzoulakos

Publication date: 20 September 2012

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-010-0340-7

zbMATH Keywords

momentsreliabilityMarkov chainsprobability generating functionrecurrence relationspatternswaiting time distributionsprobability mass functionsuccess runsdistributions of order \(k\)

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Characteristic functions; other transforms (60E10) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Reliability and life testing (62N05)

Related Items (10)

Weak runs in sequences of binary trials ⋮ On ℓ-overlapping Runs of Ones of Lengthkin Sequences of Independent Binary Random Variables ⋮ Simultaneous demonstration tests involving sparse failures ⋮ Exact distributions of constrained \((k, \ell )\) strings of failures between subsequent successes ⋮ From runs to patterns ⋮ Distribution of patterns of constrained length in binary sequences ⋮ Counting certain binary strings ⋮ Generalizations of runs and patterns distributions for sequences of binary trials ⋮ Start-up demonstration tests with three-level classification ⋮ The reliability of a generalized consecutive system

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