Resolving an old problem on the preservation of the IFR property under the formation of \(k\)-out-of-\(n\) systems with discrete distributions

DOI10.1017/JPR.2023.63MaRDI QIDQ6500029

Jorge Navarro, Mahdi Alimohammadi

Publication date: 10 May 2024

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

zbMATH Keywords

order statisticsfailure ratelog-concavitycoherent systemsageing classes

Mathematics Subject Classification ID

Reliability and life testing (62N05)

Cites Work

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• Stochastic orders
• Discrete strong unimodality of order statistics
• Closure of the NBUE and DMRL classes under formation of parallel systems
• The IFRA closure problem
• Logconcavity versus logconvexity: A complete characterization
• On the monotonic properties of discrete failure rates
• Preservation of DMRL and IMRL aging classes under the formation of order statistics and coherent systems
• Life distributions. Structure of nonparametric, semiparametric, and parametric families.
• On Closure of the IFR Class Under Formation of Coherent Systems
• Properties of some stochastic orders: A unified study
• Introduction to System Reliability Theory
• Some new results on the preservation of the NBUE and NWUE aging classes under the formation of coherent systems
• Classes of Discrete Lifetime Distributions
• A First Course in Order Statistics
• Some Reliability Applications of the Hazard Transform
• Univariate Discrete Distributions
• On the equivalence of systems of different sizes, with applications to system comparisons
• Weak aging properties for coherent systems with statistically dependent component lifetimes

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