A new aging concept derived from the increasing convex ordering

DOI10.1080/03610926.2018.1473593OpenAlexW2898265368WikidataQ129078072 ScholiaQ129078072MaRDI QIDQ5866038

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Publication date: 10 June 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2018.1473593

zbMATH Keywords

convolutionshock modelsmixingincreasing convex orderlife testingclasses of life distributions\textit{NBU}\textit{NBUC}\textit{NBUCA}

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Nonparametric tolerance and confidence regions (62G15)

Cites Work

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• Generalized orderings of excess lifetimes of renewal processes
• Closure of the NBUE and DMRL classes under formation of parallel systems
• Bounds, inequalities, and monotonicity properties for some specialized renewal processes
• Further monotonicity properties for specialized renewal processes
• Imprecise reliability for some new lifetime distribution classes
• Some results about the NBUC class of life distributions
• Moment inequalities derived from comparing life with its equilibrium form
• Shock models and wear processes
• An aging notion derived from the increasing convex ordering: the NBUCA class
• Some new results involving the NBU(2) class of life distributions
• A note on stochastic comparisons of excess lifetimes of renewal processes
• A useful ageing property based on the Laplace transform
• Proofs of the closure property of NBUC and NBU(2) under convolution
• Preservation of stochastic orders for random minima and maxima, with applications
• The NBUC and NWUC classes of life distributions
• Aspects of positive ageing
• The new better than used failure rate class of life distribution
• Some results on block replacement policies and renewal theory
• Tests for the mean residual life
• Closure of the NBUC class under formation of parallel systems
• Classes of life distributions and renewal counting process
• Characterizations of classes of lifetime distributions generalizing the NBUE class
• Moments inequalities of aging families of distributions with hypotheses testing applications
• Stochastic comparisons of random minima and maxima from life distributions

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