On the preservation of some pure-tail orderings by reliability operations

DOI10.1016/0167-7152(93)90166-GzbMath0774.62013MaRDI QIDQ1801878

Javier Rojo Jiménez

Publication date: 10 November 1993

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

order statisticsconvolutionlifetime distributionsfinite mixturesquantile functionsmonotone transformationsorder preservation\(D\)-ordering\(q\)-orderingcomparison on the tails of distributionsdensity quantile functionsformation of coherent systemsreliability operationstail- heaviness of distribution functions

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05) Statistical distribution theory (62E99)

Related Items (4)

Analysis of Order Statistics from Distributions with Regularly Varying Tails ⋮ Multicomponent stress-strength reliability based on a right long-tailed distribution ⋮ On tail behavior in Bayesian location inference ⋮ Relationships between pure tail orderings of lifetime distributions and some concepts of residual life

Cites Work

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• Comparing location experiments
• A pure-tail ordering based on the ratio of the quantile functions
• Asymptotic ordering of distribution functions and convolution semigroups
• Nonparametric Statistical Data Modeling

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