Speaker : Prof. May-Ru Chen (National Sun Yat-sen University)
Title : On Generalized Urn Models of Polya Type
Time : 2013-05-27 (Mon) 14:30 -
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: In 2005, Chen and Wei introduced a generalization of Polya-Eggenberger urn model, where at each discrete time step balls are drawn at random from the urn containing colors white and black. Balls are added to the urn according to the inspected colors. In this talk, we first provide exact expressions for the expectation and the variance of the number of white balls after draws for their model, and determine the structure of higher moments. Then we introduce a new urn model where the sampling of the balls is carried out in a step-by-step fashion. Finally, a generalized Friedman's urn model will be given.