INTRINSIC AGING AND CLASSES OF NONPARAMETRIC DISTRIBUTIONS

DOI10.1017/S0269964809990015zbMath1178.60018OpenAlexW2134690646MaRDI QIDQ3644938

J. George Shanthikumar, Shaked, Moshe, Rhonda Righter

Publication date: 13 November 2009

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0269964809990015

zbMATH Keywords

new notions of aging

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (18)

Some results on the relative ordering of two frailty models ⋮ AGING PROPERTIES OF SEQUENTIAL ORDER STATISTICS ⋮ Stochastic comparisons of order statistics from scaled and interdependent random variables ⋮ On stochastic comparisons of finite mixture models ⋮ On stochastic comparisons of maximum order statistics from the location-scale family of distributions ⋮ Reliability analysis using ageing intensity function ⋮ Stochastic comparisons on sample extremes of dependent and heterogenous observations ⋮ On proportional reversed failure rate class ⋮ Dispersive and star ordering of sample extremes from dependent random variables following the proportional odds model ⋮ Some stochastic inequalities for weighted sums ⋮ On the reversed hazard rate of sequential order statistics ⋮ Hazard rate and reversed hazard rate orders on extremes of heterogeneous and dependent random variables ⋮ Ordering properties of order statistics from random variables of Archimedean copulas with applications ⋮ Ordering results on extremes of scaled random variables with dependence and proportional hazards ⋮ Generalized multivariate Gumbel distributions -- dependence, aging properties and applications ⋮ A new extended mixture model of residual lifetime distributions ⋮ On the timing to switch on the standby in \(k\)-out-of-\(n\):\(G\) redundant systems ⋮ Analytical results forIGFRandDRPFRdistributions, with actuarial applications

Cites Work

• On lifetimes influenced by a common environment
• Stochastic orders
• SOME RESULTS ON REVERSED HAZARD RATE
• A Note on Probability Distributions with Increasing Generalized Failure Rates
• Reliability of Complex Devices in Random Environments
• A Note on Closure Properties of Failure Rate Distributions
• Inequalities: theory of majorization and its applications
• Credit risk valuation. Methods, models, and applications.

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