Seminar by Prof. T.E.S. Raghavan, University of Illinois, Chicago

We are very happy to announce the following talk by Prof. T. E. S. Raghavan.

The details of the talk are as follows:
Speaker: Prof. T. E. S. Raghavan, Professor Emeritus, Department of Mathematics, Statistics, and Computer Science, University of Illinois, Chicago
Time and Date: 12th January, 2026 (Monday), 3.00 PM
Venue: MSB Harishchandra Seminar Hall
Title: Scaling problems and their applications
More Details: Various biological, statistical, and social science data come in the form of cross-classified counts tables commonly known as contingency tables. Scaling the cell entries of such multidimensional matrices involves both mathematically and statistically well-posed problems of practical interest. In this talk, we first describe several situations where scaling can be useful. We then prove a very general theorem that demonstrates the existence of scaling factors. We also describe a natural scaling algorithm in the problem of scaling a nonnegative matrix to obtain the prescribed row and column sums. In the last section, we consider the problem of maximum likelihood estimation in contingency tables. This area of statistics, which forms part of discrete multivariate analysis, is of considerable interest to researchers at present.