國立清華大學 數學系

Abstract: One of the basic aims of probability theory and mathematical statistics is to build stochastic models which explain the phenomenon under investigation and explore the dependence structure of this phenomenon. The extended negatively dependent structure is a concept of dependence structure. In this talk, I will introduce the fundamental probability properties of extended negatively dependent random variables and present a series of inequalities for extended negatively dependent random variables. Then, I will discuss the assumption of the validity for the law of large numbers. In some case that classical assumptions are necessary and sufficient conditions for the strong law of large numbers. Tea Time: 3:30PM, R707