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New multivariate orderings based on conditional distributions
Authors:Félix Belzunce  Julio Mulero  José M Ruiz  Alfonso Suárez‐Llorens
Institution:1. Dpto. Estadística e Investigación Operativa,Facultad de Matemáticas, Universidad de Murcia, , Murcia, Spain;2. Dpto. Estadística e Investigación Operativa, Facultad de Ciencias, Universidad de Alicante, , Alicante, Spain;3. Dpto.?Estadística e Investigación Operativa, Facultad de Ciencias Empresariales, Universidad de Cádiz, , Cádiz, Spain
Abstract:In this paper, we propose and study new multivariate extensions of the dispersive, right‐spread, decreasing mean residual life and new better than used in expectation univariate orders. These new orders are based on the comparison of univariate marginal distributions conditional on survival data for the rest of the components. Relationships among multivariate orders and applications to some multivariate random vectors are also provided. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:convex  dispersive  DMRL and NBUE orders  hazard rate  right‐spread  star‐shaped  stochastic  superadditive
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