Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14365/1097
Title: On the mean and extreme distances between failures in Markovian binary sequences
Authors: Eryılmaz, Serkan
Yalcin, Femin
Keywords: Binary sequence
Exact distribution
Extremes
Markov chain
System reliability
Run Statistics
Success Runs
Trials
Length
Publisher: Elsevier Science Bv
Abstract: This paper is concerned with the mean, minimum and maximum distances between two successive failures in a binary sequence consisting of Markov dependent elements. These random variables are potentially useful for the analysis of the frequency of critical events occurring in certain stochastic processes. Exact distributions of these random variables are derived via combinatorial techniques and illustrative numerical results are presented. (C) 2011 Elsevier B.V. All rights reserved.
URI: https://doi.org/10.1016/j.cam.2011.09.013
https://hdl.handle.net/20.500.14365/1097
ISSN: 0377-0427
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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