The rate of occurrence of failures for semi-Markov processes and estimation

DOI10.1016/S0167-7152(02)00139-6zbMath1017.62106MaRDI QIDQ1871279

Nikolaos Limnios, Brahim Ouhbi

Publication date: 7 May 2003

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

reliabilitysemi-Markov processfailure ratesnon-parametric estimator

Mathematics Subject Classification ID

Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

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Cites Work

• Nonparametric estimation for semi-Markov processes based on its hazard rate functions
• Analysis of a counting process associated with a semi-Markov process: number of entries into a subset of state space
• Non-parametric estimation for semi-Markov kernels with application to reliability analysis
• The rate of occurrence of failures
• Comportement asymptotique de la matrice de renouvellement markovien
• The Existence and Uniqueness of Stationary Measures for Markov Renewal Processes
• Markov Renewal Processes: Definitions and Preliminary Properties
• Semi-Markov processes and reliability
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