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Let X1, X2, …, Xm be successive observations on m objects, numbered 1,2, …, m. If X1 belongs to the n largest observations among X1,X2,…,Xi, object i is called a record, i = 1,2,…,m; n?1.In investigating the influence of the ranking of the objects on the expected number of records, a hierarchy of stochastic order relations between random variables arises.It is these order relations and their relationship with known stochastic orderings that are studied in this paper. 相似文献
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In this paper we deal with the extension of Nash bargaining theory to nonconvex problems. By focussing on the Social Welfare Ordering associated with a bargaining solution, we characterize the symmetric Nash Bargaining Solution (NBS). Moreover, we obtain a unified method of proof of recent characterization results for the asymmetric single-valued NBS and the symmetric multivalued NBS, as well as their extensions to different domains. 相似文献
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The study of systems with dependent components from a reliability point of view is a very important topic. However, the majority of the articles study the case of independent components. In this article, we study how the dependency influences the performance of the system. We extend some comparison results obtained in the case of independent components to the case of two dependent components. We show that the more diverse the exponential parameters of the two components, the stronger (weaker) the parallel (series) system in the stochastic ordering. We apply our general results to some common bivariate models in the reliability theory. 相似文献
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