On the Mean and Extreme Distances Between Failures in Markovian Binary Sequences
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Date
2011
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Open Access Color
HYBRID
Green Open Access
No
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Publicly Funded
No
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Top 10%
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Top 10%
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Average
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.
Description
Yalcin, Femin/0000-0003-0602-9392; Eryilmaz, Serkan/0000-0002-2108-1781
Keywords
Binary sequence, Exact distribution, Extremes, Markov chain, System reliability, Computational Mathematics, System reliability, Binary sequence, Applied Mathematics, Extremes, Markov chain, Exact distribution, Combinatorial probability, extremes, Markov chains (discrete-time Markov processes on discrete state spaces), system reliability, Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.), binary sequence, Probability distributions: general theory, exact distribution
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
9
Source
Journal of Computational and Applied Mathematics
Volume
236
Issue
6
Start Page
1502
End Page
1510
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Citations
CrossRef : 5
Scopus : 5
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Mendeley Readers : 3
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