Are the Order Statistics Ordered? A Survey of Recent Results

DOI10.1080/03610920601076958zbMath1137.62026OpenAlexW1986641278MaRDI QIDQ3593546

Shaked, Moshe, Tomasz Rychlik, Jorge Navarro

Publication date: 23 July 2007

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920601076958

zbMATH Keywords

order statisticsreliabilitysignaturehazard rate orderk-out-of-n systemcoherent systemsmixture representation

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Related Items (9)

Computations of Signatures of Coherent Systems with Five Components ⋮ Characterizations by Power Contractions of Order Statistics ⋮ Characterizations using the bivariate failure rate function ⋮ Estimation of the Parameters of the New Weibull-Pareto Distribution Using Ranked Set Sampling ⋮ Comparisons and bounds for expected lifetimes of reliability systems ⋮ Mean residual life functions of finite mixtures, order statistics and coherent systems ⋮ Systems with Failure-Dependent Lifetimes of Components ⋮ On the expectations of maxima of sets of independent random variables ⋮ Multivariate Comparisons of Ordered Data

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