Theoretical Statistics and Mathematics Unit, ISI Delhi
In this talk, we will introduce a new approach for studying generalized Pólya urn schemes with balanced replacement mechanisms. We will present a representation of such an urn scheme in terms of a Markov chain associated with the replacement scheme and show that most of the classical asymptotic results may be derived easily from the representation. We will also show that the representation is valid for certain non-standard generalizations with of Pólya urn schemes with infinitely many colors. We will then derive many interesting and new results for such models.
[The talk will be based on joint work with Debleena Thacker]