Seminar at SMU Delhi

August 11, 2014 (Monday) , 3:30 PM at Webinar
Speaker: Gursharan Kaur, Indian Statistical Institute, Delhi
Title: Urn Schemes with Negative Reinforcement
Abstract of Talk
In this work we consider negatively reinforced Polya type urn processes with finitely many colors. We consider two types of such processes Linear and Inverse. We show that in case of only two colors both the processes are equivalent and the limiting configuration of the urn is uniform a.s., and for more than two color case the configuration of the urn after $n$ draws converge a.s. to a limiting distribution which is uniform if and only if uniform distribution is the unique stationary distribution of the underline Markov chain.