Sequential order statistics: ageing and stochastic orderings

DOI10.1007/s11009-011-9248-5zbMath1275.62057OpenAlexW2084353495MaRDI QIDQ1930618

Nuria Torrado, Rosa Elvira Lillo, Michael P. Wiper

Publication date: 11 January 2013

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-011-9248-5

zbMATH Keywords

reliabilityNBUDHRDHRAnonhomogeneous birth processIHRIHRA

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Sequential statistical analysis (62L10) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (13)

Inference in a model of successive failures with shape-adjusted hazard rates ⋮ Univariate and multivariate stochastic orderings of residual lifetimes of live components in sequential (𝑛-𝑟+ 1)-out-of-𝑛 systems ⋮ Reliability modeling of coherent systems with shared components based on sequential order statistics ⋮ Stochastic comparisons between lifetimes of reliability systems with exchangeable components ⋮ Multivariate testing and model-checking for generalized order statistics with applications ⋮ Comparisons of policies based on relevation and replacement by a new one unit in reliability ⋮ HR and RHR orderings of generalized order statistics ⋮ Trend-transformed independent vectors: construction and stochastic comparison results ⋮ On the reversed hazard rate of sequential order statistics ⋮ STOCHASTIC COMPARISONS OF SYSTEMS BASED ON SEQUENTIAL ORDER STATISTICS VIA PROPERTIES OF DISTORTED DISTRIBUTIONS ⋮ Asymptotic behavior of the hazard rate in systems based on sequential order statistics ⋮ A residual inaccuracy measure based on the relevation transform ⋮ Estimation in a Model of Sequential Order Statistics with Ordered Hazard Rates

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• NONHOMOGENEOUS BIRTH PROCESSES AND l_∞-SPHERICAL DENSITIES, WITH APPLICATIONS IN RELIABILITY THEORY
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