國立清華大學 數學系

Abstract: In this talk we discuss the notion of negatively associated random variables and their applications to some statistical procedures. Negatively associated random variables play significant part in modern Theory of Probability. Such random variables inherit some properties of independent random variables. It is important to note that independent random variables are negatively associated. In fact there exists a tight connection between the notions of independence and negative association. This connection helps to extend various asymptotic results on sums of independent random variables for negatively associated random variables. Not looking at a substantial progress in theory of negatively associated random variables, there are still many unsolved problems. Tea Time: 10:30AM, R707