Stochastic comparisons of parallel and series systems with heterogeneous resilience-scaled components

DOI10.1080/02331888.2018.1546705zbMath1409.90083OpenAlexW2901742771MaRDI QIDQ4613933

Hairu Wang, Xiong Cai, Peng Zhao, Yiying Zhang

Publication date: 28 January 2019

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2018.1546705

zbMATH Keywords

stochastic ordersmajorizationArchimedean copularesilience-scale model

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (22)

Stochastic comparisons on total capacity of weighted k-out-of-n systems with heterogeneous components ⋮ Some general results on usual stochastic ordering of the extreme order statistics from dependent random variables under Archimedean copula dependence ⋮ ON VARIABILITY OF SERIES AND PARALLEL SYSTEMS WITH HETEROGENEOUS COMPONENTS ⋮ Comparisons of series and parallel systems with heterogeneous exponentiated geometric components ⋮ Orderings of extremes dependent modified proportional hazard and modified proportional reversed hazard variables under Archimedean copula ⋮ Stochastic comparisons of parallel systems with generalized Kumaraswamy-G components ⋮ On ordering parallel systems with two components having Marshall/Olkin-type lifetime distribution ⋮ Stochastic comparisons of second-order statistics from dependent and heterogenous modified proportional hazard rate observations ⋮ Ordering properties of the second smallest and the second largest order statistics from a general semiparametric family of distributions ⋮ Likelihood ratio and dispersive orders of parallel and series systems consisting of dependent multiple-outlier components ⋮ Dispersive and star ordering of sample extremes from dependent random variables following the proportional odds model ⋮ Mean residual life order among largest order statistics arising from resilience-scale models with reduced scale parameters ⋮ Stochastic comparisons on extreme order statistics from observations associated by FGM copula ⋮ Stochastic comparisons of series and parallel systems with dependent log-logistic components ⋮ Ordering results of extreme order statistics from heterogeneous Gompertz–Makeham random variables ⋮ Ordering extremes of exponentiated location-scale models with dependent and heterogeneous random samples ⋮ Stochastic comparisons on sample extremes from independent or dependent gamma samples ⋮ Some ordering results for the Marshall and Olkin's family of distributions ⋮ Ordering extremes of scale random variables under Archimedean copula ⋮ On comparison of two parallel systems having Log–Lindley distributed components ⋮ Stochastic comparisons of parallel systems with heterogeneous exponentiated half logistic-F components ⋮ On a conjecture about the comparability of parallel systems with respect to the convex transform order

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