# Canterbury Statistics Portal

Statistics events of interest to the Canterbury region.

## Probabilistic proofs of matrix inequalities

**Ingram Olkin** (Stanford University)

**Starts:** 03:10 PM, Jul 7, 2010

**Ends:** 04:00 PM, Jul 7, 2010

Probabilistic inequalities often have the advantage of providing intuitive proofs. Furthermore, many inequalities achieve equality for two-point distributions, in which case sharpness is readily exhibited. This talk provides an exposition of a variety of probabilistic inequalities, and their counterpart matrix inequalities. Examples are the Ky Fan inequality, bounds for the product, difference and ratio of quadratic forms, bilinear forms, the Hadamard inequality, and more.

### Location

**Department of Mathematics and Statistics, University of Canterbury**

Room 446

Level 4, Erskine Building