Dispersive ordering of fail-safe systems with heterogeneous exponential components

DOI10.1007/S00184-010-0297-5zbMath1434.62218OpenAlexW2007332315MaRDI QIDQ641763

Peng Zhao, Narayanaswamy Balakrishnan

Publication date: 25 October 2011

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: http://ir.lzu.edu.cn/handle/262010/118483

zbMATH Keywords

order statisticslikelihood ratio orderhazard rate orderdispersive orderproportional hazard rates model\(p\)-larger orderfail-safe systemsMRL order

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

Related Items (12)

Hazard rate ordering of the second-order statistics from multiple-outlier PHR samples ⋮ Dispersion and variability orders of mixture exponential distributions and their sample spacings, and some associated characterizations ⋮ Improved Ordering Results for Fail-Safe Systems with Exponential Components ⋮ Necessary and sufficient conditions for stochastic orders between (n − r + 1)-out-of-n systems in proportional hazard (reversed hazard) rates model ⋮ Stochastic comparisons of second-order statistics from dependent and heterogenous modified proportional hazard rate observations ⋮ New results on comparisons of parallel systems with heterogeneous gamma components ⋮ Stochastic comparisons of lifetimes of fail-safe systems with dependent and heterogeneous components under random shocks ⋮ Stochastic comparisons of order statistics and spacings: a review ⋮ ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS ⋮ A stochastic inequality for the largest order statistics from heterogeneous gamma variables ⋮ Bounds for mixtures of order statistics from exponentials and applications ⋮ On stochastic comparisons of k-out-of-n systems with Weibull components

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