Shock models leading to non-monotonic ageing classes of life distributions

DOI10.1016/0378-3758(95)00192-1zbMath0857.62096OpenAlexW1989009511MaRDI QIDQ1817287

Murari Mitra, Sujit K. Basu

Publication date: 6 March 1997

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(95)00192-1

zbMATH Keywords

bathtub failure rateshock modelhomogeneous Poisson processconvex and concave functionsnew worse than better than used in expectationnon-monotonic ageing classes

Mathematics Subject Classification ID

Reliability and life testing (62N05)

Related Items (7)

An Alternative Simple Proof of a Result Useful in Reliability Shock Models ⋮ On non-monotonic ageing properties from the Laplace transform, with actuarial applications ⋮ On some properties of distributions possessing a bathtub-shaped failure rate average ⋮ Monte Carlo comparison of tests of exponentiality against NWBUE alternatives ⋮ Tests of non-monotonic stochastic aging notions in reliability theory ⋮ On classes of life distributions based on the mean time to failure function ⋮ Reliability Shock Models: A Brief Excursion

Cites Work

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• On a nonparametric family of life distributions and its dual
• Change point estimation in non-monotonic aging models
• Shock models and wear processes
• Bathtub distributions: a review
• Failure distributions of shock models
• Shock models leading to increasing failure rate and decreasing mean residual life survival
• Bathtub and Related Failure Rate Characterizations
• Shock models with underlying birth process
• Shock models with NBUE survival

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