Modified proportional hazard rates and proportional reversed hazard rates models via Marshall-Olkin distribution and some stochastic comparisons

DOI10.1016/j.jkss.2017.10.003zbMath1387.60033OpenAlexW2767890424MaRDI QIDQ684069

Ghobad Barmalzan, Abedin Haidari, Narayanaswamy Balakrishnan

Publication date: 9 February 2018

Published in: Journal of the Korean Statistical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jkss.2017.10.003

zbMATH Keywords

order statisticsusual stochastic orderMarshall-Olkin distributionproportional hazard rates model\(P\)-larger ordermodified proportional hazard rates modelmodified proportional reversed hazard rates modelproportional reversed hazard rates modelweak majorization order

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Reliability, availability, maintenance, inspection in operations research (90B25)

Related Items (7)

Some general results on usual stochastic ordering of the extreme order statistics from dependent random variables under Archimedean copula dependence ⋮ Orderings of extremes dependent modified proportional hazard and modified proportional reversed hazard variables under Archimedean copula ⋮ Stochastic comparisons of series and parallel systems with dependent heterogeneous extended exponential components under Archimedean copula ⋮ Stochastic comparisons of second-order statistics from dependent and heterogenous modified proportional hazard rate observations ⋮ Orderings of fail-safe systems with components having Marshall-Olkin-Harris lifetime distributions ⋮ Stochastic comparisons of largest claim amount from heterogeneous and dependent insurance portfolios ⋮ Some ordering results for the Marshall and Olkin's family of distributions

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