Hazard rate ordering of the second-order statistics from multiple-outlier PHR samples

DOI10.1080/02331888.2016.1265969zbMath1370.62027OpenAlexW2567292713MaRDI QIDQ5283164

Yiying Zhang, Peng Zhao, Xiong Cai

Publication date: 20 July 2017

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2016.1265969

zbMATH Keywords

majorization orderauction theoryhazard rate orderingsecond-order statisticsmultiple-outlier PHR modelsproportional hazard rates (PHR) samplesample size vectorsupermajorization

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Reliability, availability, maintenance, inspection in operations research (90B25) Auctions, bargaining, bidding and selling, and other market models (91B26) Reliability and life testing (62N05)

Related Items (8)

ON VARIABILITY OF SERIES AND PARALLEL SYSTEMS WITH HETEROGENEOUS COMPONENTS ⋮ 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 ⋮ Likelihood ratio and dispersive orders of parallel and series systems consisting of dependent multiple-outlier components ⋮ Stochastic comparisons of lifetimes of fail-safe systems with dependent and heterogeneous components under random shocks ⋮ Comparisons of order statistics from heterogeneous negative binomial variables with applications

Cites Work

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• STOCHASTIC COMPARISONS OF PARALLEL SYSTEMS WHEN COMPONENTS HAVE PROPORTIONAL HAZARD RATES
• Comparisons between largest order statistics from multiple-outlier models
• Inequalities: theory of majorization and its applications

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