Minimum and maximum distances between failures in binary sequences

The minimum and maximum distances denoting the extreme numbers of successes between two successive failures in binary sequences, are considered. Exact marginal and joint probability distributions of these statistics are obtained via combinatorial analysis. Applications related to urn models and system reliability are studied and clarify further the theoretical results.

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Year of publication:	2011
Authors:	Makri, Frosso S.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 81.2011, 3, p. 402-410
Publisher:	Elsevier
Keywords:	Runs and scans Bernoulli trials Exchangeable trials Exact distributions System reliability

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008868915