WEEKLY ACTIVITIES

Stable and semistable probability measures on convex cones I
Speaker: Bùi Quảng Nam

Time: 14h00, Wednesday, 1/10/2014

Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: The study concerns with stability and semistability of probability measures on convex cone, regarding to two main topics. The first topic is to characterize the semistability and stability, showing that the set S( ) of all positive number t > 0 such that a given probability measure   is t-semistable establishes a closed subgroup of the multiplicative group of positive numbers; stability and semistability exponents are positive numbers if and only if the neutral element of convex cone coincides with the origin. The second topic is related to domains of attraction and of semi - attraction of probability measures, informs that a probability measure is (semi -) stable if and only if its domain of (semi -) attraction is not empty. Moreover, the domain of attraction of a given stable probability measure completely coincides with its domain of semi - attraction. 

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