Stochastic equivalence of ordered random variables with applications in reliability theory

DOI10.1016/0167-7152(94)90130-9zbMath0804.62015OpenAlexW2019550460MaRDI QIDQ1336927

Haolong Zhu, Haijun Li

Publication date: 6 November 1994

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

Full work available at URL: https://doi.org/10.1016/0167-7152(94)90130-9

zbMATH Keywords

reliabilitycharacterizationNBUstochastic orderingsNBUEmultivariate exponential distributionsmultivariate new better than used distributionsmultivariate new better than used in expectation distributionsstochastic equality of random variables

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

Related Items (7)

ROLE OF EQUILIBRIUM DISTRIBUTION IN RELIABILITY STUDIES ⋮ Further properties of fractional stochastic dominance ⋮ General frailty model and stochastic orderings ⋮ Characterization of stochastic orders by \(L\)-functionals ⋮ Characterizations of classes of risk measures by dispersive orders ⋮ On the theory of high convexity stochastic orders ⋮ Stochastic bounds and dependence properties of survival times in a multicomponent shock model

Cites Work

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• Multivariate distributions with exponential minimums
• Some generalized variability orderings among life distributions with reliability applications
• A Multivariate New Better than Used Class Derived from a Shock Model
• Multivariate New Better than Used Distributions
• Multidimensional Stochastic Ordering and Associated Random Variables
• A Multivariate Exponential Distribution
• Families of life distributions characterized by two moments

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