Formulae and recursions for the joint distribution of success runs of several lengths

DOI10.1023/A:1003170823986zbMath0890.62008OpenAlexW2058909164MaRDI QIDQ1370535

Anant P. Godbole, Stavros G. Papastavridis, Robert S. Weishaar

Publication date: 26 October 1997

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

Full work available at URL: https://doi.org/10.1023/a:1003170823986

zbMATH Keywords

generating functiondistributions of order \(k\)inclusion-exclusion principletests for randomnessindependent Bernoulli trialsoverlapping and non-overlapping success runs

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Characterization and structure theory of statistical distributions (62E10)

Related Items (6)

The distribution of extended discrete random sums and its application to waiting time distributions ⋮ Joint distributions of numbers of runs of specified lengths on directed trees ⋮ On the joint distribution of success runs of several lengths in the sequence of MBT and its applications ⋮ Joint distributions of numbers of runs of specified lengths in a sequence of Markov dependent multistate trials ⋮ Formulae and recursions for the joint distributions of success runs of several lengths in a two-state Markov chain ⋮ Joint distributions of numbers of success runs of specified lengths in linear and circular se\-quences

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