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Monotone Markov processes with respect to the reversed hazard rate ordering: an application to reliability

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Publication:2731161
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DOI10.1239/jap/996986653zbMath0981.60086MaRDI QIDQ2731161

Sophie Bloch-Mercier

Publication date: 14 March 2002

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/448b490ca8e6eab00a09747e285f00d603019140


zbMATH Keywords

limiting availabilityreliability system with a finite state spacereversed hazard rate monotone Markov processes


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Transition functions, generators and resolvents (60J35) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)


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Characterizations using the generalized reversed lack of memory property ⋮ Availability of a periodically inspected system maintained through several minimal repairs before a replacement or a perfect repair




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