讲座题目：Optimal grouping of heterogeneous components in series and parallel systems under Archimedean copula dependence

主讲人：方龙祥

讲座时间：2021年6月4日下午15:00——16:00

地点：综合644

主讲人简介：

       方龙祥，教授，硕士生导师，主要从事数理统计、随机序及相关领域的研究，在J COMPUT APPL MATH，J SYST SCI COMPLEX，数学学报等国内外学术期刊上发表论文30余篇，主持全国统计科学研究计划、安徽省自然科学基金等项目。

讲座摘要：

      In this talk, we will consider series and parallel systems comprising n components drawn from a heterogeneous population consisting of m different subpopulations. The components within each subpopulation are assumed to be dependent, while the subpopulations are independent of each other. We also assume that the  subpopulations  have different Archimedean copulas for their dependence.  Under this setup, we discuss the series and parallel systems reliability for three different cases, respectively. We use the theory of stochastic orders and majorization to establish the main results, and finally present some numerical examples to illustrate all the results established here.