Characterizations of the hazard rate order and IFR aging notion

DOI10.1016/j.spl.2004.10.007zbMath1062.60010OpenAlexW2084220567MaRDI QIDQ1767735

Xiaoli Gao, Taizhong Hu, Franco Pellerey, Felix Belzunce

Publication date: 8 March 2005

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2004.10.007

zbMATH Keywords

increasing failure rateLaplace transform orderdecreasing mean residual lifeHazard rate orderAging notionsLaplace transform order of residual livesMean residual life order

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (7)

Laplace transform ordering of time to failure in age replacement models ⋮ Median Inactivity Time Function and its Reliability Properties ⋮ On non-monotonic ageing properties from the Laplace transform, with actuarial applications ⋮ Aspects of the mean residual life order for weighted distributions ⋮ The percentile residual life up to time \(t_{0}\): ordering and aging properties ⋮ CHARACTERIZATIONS OF THE RHR AND MIT ORDERINGS AND THE DRHR AND IMIT CLASSES OF LIFE DISTRIBUTIONS ⋮ The decreasing percentile residual life ageing notion

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• Stochastic orders based on ratios of Laplace transforms
• Reliability bounds for the ℒ-class and Laplace order
• Laplace ordering and its applications

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