Theoretical Statistics and Mathematics Unit, ISI 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.