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.