Mean residual life and increasing convex comparison of shock models

DOI10.1016/0167-7152(94)90124-4zbMath0806.60076OpenAlexW1971985773MaRDI QIDQ1336920

Enrico Fagiuoli, Franco Pellerey

Publication date: 6 November 1994

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

Full work available at URL: https://doi.org/10.1016/0167-7152(94)90124-4

zbMATH Keywords

shock modelscounting processesincreasing convex orderingexpectation orderingIFR propertymean residual life orderings

Mathematics Subject Classification ID

Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Related Items (15)

On the preservation of some orderings of risks under convolution ⋮ FURTHER RESULTS INVOLVING THE MIT ORDER AND THE IMIT CLASS ⋮ Comparing first-passage times for semi-Markov skip-free processes ⋮ Preservation of generalized ageing classes on the residual life at random time ⋮ Reliability analysis of the proportional mean residual life order ⋮ On quantile reversed residual lifetime and its aging properties ⋮ Combination of mean residual life order with reliability applications ⋮ On risk dependence and mrl ordering ⋮ On the mean residual life order of convolutions of independent uniform random variables ⋮ Some results on generalized ageing classes ⋮ Some new results about the variance inactivity time ordering with applications ⋮ Preservation of Stochastic Orderings under Random Mapping by Point Processes ⋮ On generalized orderings and ageing classes for residual life and inactivity time at random time ⋮ The Laplace order and ordering of residual lives ⋮ On the value of an item subject to general repair or maintenance

Cites Work

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• DFR property of first-passage times and its preservation under geometric compounding
• On preservation of some partial orderings under shock models
• TP₂-Orderings and the IFR Property with Applications
• Aspects of positive ageing
• Partial orderings under cumulative damage shock models
• Uniform stochastic orderings and total positivity
• Preservation of some partial orderings under Poisson shock models

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