讲座题目: Reliability and Statistics

主讲人: 董永良 教授, 乔治亚科技大学数学系退休教授,美国统计学会院士、数理统计学会院士
时 间: 2007.11.21, 2:00-3:00 pm
地 点: B202
摘 要: In this expository talk we will provide an overview on the interface between certain developments in the areas of reliability and multivariate statistics. More specifically, we will illustrate: (a) How the concept of association of random variables, originally motivated by an applied problem in reliability theory, has enhanced the studies of positive dependence and has provided solutions to many interesting problems in statistics. (b) How majorization-related probability inequalities in statistics have been applied to obtain useful results in system reliability theory. Some of the key references and basic ideas will be discussed, and a few theorems will be stated. However, due to the limited time, no mathematical details will be given.

主讲人简介: Y. L. Tong was born in Qingdao, Shandong Province; he received his B. S. degree from Taiwan University, and M. S. and Ph.D. from the University of Minnesota. Currently he is Professor Emeritus, School of Mathematics, Georgia Institute of Technology and Visiting Professor, United International College. His areas of research include theory of inequalities, reliability theory, and multivariate statistics, with special emphasis on the applications of probability inequalities to system reliability and multivariate statistical analysis. He has authored and co-authored four research-level books and many technical papers in those and other related areas. He is Fellow of the American Statistical Association, Fellow of the Institute of Mathematical Statistics, and an elected Ordinary Member of the International Statistical Institute.

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