Bivariate Aging Properties under Archimedean Dependence Structures

DOI10.1080/03610920903199987zbMath1201.62112OpenAlexW2098586500MaRDI QIDQ3058415

Julio Mulero, Franco Pellerey

Publication date: 22 November 2010

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

Full work available at URL: https://doi.org/10.1080/03610920903199987

zbMATH Keywords

stochastic ordersIFRClayton copulapositive dependence orderssurvival copulasresidual lifetimesbivariate aging

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Reliability and life testing (62N05)

Related Items (15)

On dispersive and star orderings of random variables and order statistics ⋮ Comparisons of coherent systems under the time-transformed exponential model ⋮ Bivariate residual entropy function: A quantile approach ⋮ A Marshall-Olkin type multivariate model with underlying dependent shocks ⋮ Generalized Marshall-Olkin distributions and related bivariate aging properties ⋮ On bivariate ageing properties of exchangeable Farlie–Gumbel–Morgenstern distributions ⋮ Archimedean-based Marshall-Olkin distributions and related dependence structures ⋮ A covariance-based test for shared frailty in multivariate lifetime data ⋮ Aging and ordering properties of multivariate lifetimes with Archimedean dependence structures ⋮ Stochastic comparisons for time transformed exponential models ⋮ Negative aging and stochastic comparisons of residual lifetimes in multivariate frailty models ⋮ Preservation of dependence concepts under bivariate weighted distributions ⋮ Multivariate Aging with Archimedean Dependence Structures in High Dimensions ⋮ A law of uniform seniority for dependent lives ⋮ Extended Marshall–Olkin Model and Its Dual Version

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