Dispersivity and stochastic majorization

DOI10.1016/0167-7152(92)90034-3zbMath0744.62073OpenAlexW1995658582MaRDI QIDQ1185555

Frank Proschan, Abdulhamid A. Alzaid

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-7152(92)90034-3

zbMATH Keywords

inequalitiesorder statisticsSchur functionsstochastic orderingmonotonicity resultsmajorizationdispersive orderingvariability orderingdispersive functionstochastic majorization

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (4)

Mixtures of exponential distributions and stochastic orders ⋮ Some Properties of Order Statistics When the Sample Size Is Random ⋮ Stochastic orders and majorization of mean order statistics ⋮ Stochastic comparisons of random minima and maxima from life distributions

Cites Work

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• Testing for dispersive ordering
• Dispersive and superadditive ordering
• Stochastic comparisons of order statistics,with applications in relibility
• Dispersive distributions, and the connection between dispersivity and strong unimodality
• Inequalities for Linear Combinations of Order Statistics from Restricted Families
• Inequalities: theory of majorization and its applications
• Dispersive ordering of distributions

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