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On General Multivariate Mixture Models
Authors:Xiaoliang Ling  Peng Zhao
Institution:1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, China;2. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China;3. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China
Abstract:In this article, we focus our attention on the general multivariate mixture model. We drive the relationship between the conditional and the unconditional reliability measures such as the hazard gradient, reversed hazard gradient, multivariate mean residual life, and multivariate reversed mean residual life. We present some sufficient conditions under which we can stochastically compare those vectors of general multivariate mixture models in the senses of various stochastic orderings.
Keywords:Hazard gradient  Multivariate mixtures  Reversed hazard gradient  Stochastic orders
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