Modeling and analysis of system reliability using phase-type distribution closure properties

DOI10.1002/asmb.2509MaRDI QIDQ6578120

Abdullah Alkaff, Mochamad Nur Qomarudin

Publication date: 25 July 2024

Published in: Applied Stochastic Models in Business and Industry (Search for Journal in Brave)

zbMATH Keywords

system structurematrix-analytic methodexact analysissystem reliability functionsystem hazard functionsystem time to failure

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

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• Closure of phase type distributions under operations arising in reliability theory
• Phase-type distributions for failure times
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• Analyzing Markov Chains using Kronecker Products
• Network Reliability
• System availability in a shock model under preventive repair and phase-type distributions
• Comparisons of series and parallel systems with components sharing the same copula
• Application of the phase‐type mortality law to life contingencies and risk management
• On a random lead time and threshold shock model using phase‐type geometric processes
• Improvement of expectation–maximization algorithm for phase‐type distributions with grouped and truncated data
• Input Modeling with Phase-Type Distributions and Markov Models
• Inactivity times of coherent systems with dependent components under periodical inspections

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