Improved Ordering Results for Fail-Safe Systems with Exponential Components

DOI10.1080/03610926.2012.755204zbMath1332.90088OpenAlexW1495449412MaRDI QIDQ3462349

Ghobad Barmalzan, Abedin Haidari, Narayanaswamy Balakrishnan

Publication date: 5 January 2016

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

Full work available at URL: https://doi.org/10.1080/03610926.2012.755204

zbMATH Keywords

order statisticsexponential distributionboundslikelihood ratio orderingusual stochastic orderinghazard rate orderingmean residual life orderingfail-safe systems

Mathematics Subject Classification ID

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

Related Items (8)

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 ⋮ Necessary and sufficient conditions for stochastic orders between (n − r + 1)-out-of-n systems in proportional hazard (reversed hazard) rates model ⋮ Ordering fail-safe systems having dependent components with Archimedean copula and exponentiated location-scale distributions ⋮ 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 ⋮ Orderings of fail-safe systems with components having Marshall-Olkin-Harris lifetime distributions ⋮ Stochastic comparisons of lifetimes of fail-safe systems with dependent and heterogeneous components under random shocks

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• Comparison of order statistics in a random sequence to the same statistics with i.i.d. variables
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• NWU property of a class of random sums

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