**Date & Time:** 20th March, 2012; 16.00-17.00

**Venue:** Ramanujan Hall

**Title:** Some Isomorphic Vector Spaces and their Applications to Probability Distributions

**Speaker:** Professor K. Balasubramanian, ISI, New Delhi

**Abstract:** In this talk, we will discuss three isomorphic vector spaces which lead to
certain easy proofs of binomial identities. Distributions arising out of some
stopping rules in drawing balls of two colors from an urn with and without
replacement will be addressed. Certain identities involving cdfs of order
statistics are generalized to those coming from arbitrary multivariate
distributions. Also, some generalized binomial and multinomial distributions
can easily analyzed using our approach.