Some generalized variability orderings among life distributions with reliability applications

DOI10.2307/3214873zbMath0729.62097OpenAlexW2321335041MaRDI QIDQ3354951

Manish C. Bhattacharjee

Publication date: 1991

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214873

zbMATH Keywords

mixingstochastic orderingClosure propertiespartial orderingconvex orderingparallel systemscold standby systemsgeneralized variability orderingharmonic residual life average dominationHBNUE-ageingL-ageingnew better than used harmonic mean remaining life propertyordering of life-time distributions

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characterization and structure theory of statistical distributions (62E10) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05) Distribution theory (60E99)

Related Items (8)

Stochastic equivalence of ordered random variables with applications in reliability theory ⋮ Stochastic comparisons and bounds for aging renewal process shock models and their applications ⋮ Generalized variability orderings among nonnegative fuzzy random variables ⋮ 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 Monotonicity of the Mean-CVaRs and Their Applications to Inventory Systems with Stockout Cost: A Transformation Approach ⋮ Testing new better than used classes of life distributions derived from a convex ordering using kernel methods^*

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