Reliability measures of semi-Markov systems with general state space

DOI10.1007/s11009-011-9211-5zbMath1259.60106OpenAlexW2008003349MaRDI QIDQ1930454

Nikolaos Limnios

Publication date: 11 January 2013

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-011-9211-5

zbMATH Keywords

failure ratesurvival functionavailabilitysemi-Markov processmean time to failurerate of occurrence of failure

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Markov renewal processes, semi-Markov processes (60K15)

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Cites Work

• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Nonparametric estimation of some important indicators in reliability for semi-Markov processes
• Semi-Markov chains and hidden semi-Markov models toward applications. Their use in reliability and DNA analysis.
• Piecewise deterministic Markov processes applied to fatigue crack growth modelling
• Markov chain models - rarity and exponentiality
• Average and diffusion approximation of stochastic evolutionary systems in an asymptotic split state space
• Recent advances in reliability theory. Methodology, practice, and inference
• Recurrence relations for generalized hitting times for semi-Markov processes
• Nonparametric reliability estimation of semi-Markov processes
• The rate of occurrence of failures for semi-Markov processes and estimation
• A dependability measure for Markov models of repairable systems: Solution by randomization and computational experience
• Shock models and wear processes
• Stochastic Models in Reliability
• A reliability semi-Markov model involving geometric processes
• Markov Renewal Processes: Definitions and Preliminary Properties
• Applied Semi-Markov Processes
• Semi-Markov processes and reliability

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