Dynamic reliability models with conditional proportional hazards

DOI10.1007/BF00985451zbMath0859.62089WikidataQ36893599 ScholiaQ36893599MaRDI QIDQ1126012

Edsel A. Peña, Myles Hollander

Publication date: 9 April 1997

Published in: Lifetime Data Analysis (Search for Journal in Brave)

zbMATH Keywords

Markov chainmarked point processcoherent systemsoftware reliabilityparallel systemdynamic approachreliability systemshazard functionsseries-parallel systemjump timesload-sharingMarkov dynamic modelmultivariate failure-time modelsnew family of distribution functions

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Reliability and life testing (62N05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (23)

Generalized order statistics: an exponential family in model parameters ⋮ Dynamic modeling and statistical analysis of event times ⋮ Order restricted statistical inference for scale parameters based on sequential order statistics ⋮ Comparisons of the expectations of system and component lifetimes in the failure dependent proportional hazard model ⋮ Dynamic reliability models with conditional proportional hazards ⋮ Sharp inequalities for quantiles of system lifetime distributions from failure-dependent proportional hazard model ⋮ Residual lifetime prediction for sequential k-out-of-n systems with dependent component lifetimes ⋮ A conversation with Myles Hollander ⋮ Reliability modelling incorporating load share and frailty ⋮ STOCHASTIC COMPARISONS OF SYSTEMS BASED ON SEQUENTIAL ORDER STATISTICS VIA PROPERTIES OF DISTORTED DISTRIBUTIONS ⋮ Order restricted inference for sequential \(k\)-out-of-\(n\) systems ⋮ Representations of component importance for coherent systems with exchangeable components ⋮ On total positivity of exchangeable random variables obtained by symmetrization, with applications to failure-dependent lifetimes ⋮ Inference from multiple samples of Weibull sequential order statistics ⋮ UMPU tests based on sequential order statistics ⋮ A family of distributions to model load sharing systems ⋮ On unimodality of the lifetime distribution of coherent systems with failure-dependent component lifetimes ⋮ A dynamic system for Gompertz model ⋮ Tests for specific nonparametric relations between two distribution functions with applications ⋮ A model fork-out-of-mload-sharing systems ⋮ Nonparametric inference for sequential \(k\)-out-of-\(n\) systems ⋮ Nonparametric model checking for \(k\)-out-of-\(n\) systems ⋮ Load-Sharing Reliability Models with Different Component Sensitivities to Other Components’ Working States

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