Title of the talk: Persistence of stationary Gaussian processes and Geometric outlook to improving Cramer-Rao & related bounds

Date , Time & Venue: 29th Oct. 2025  at 05 PM on Department of Mathematics

Abstract of talk: We will start with discussing a study on estimating the probability that a stationary rela-valued Gaussian process stays positive on a long interval. The behaviour of this probability is found to depend on the spectral measure near the origin and infinity.

We will then describe an extrinsic geometry-based idea to refine classical bounds such as the Cramer-Rao & Bhattacharyya bounds. The basic idea is to embed the statistical manifold into a fixed Hilbert space using the square-root map.

About the speaker: Dr. Sunder received a B.Tech. in ECE from College of Engineering Trivandrum, Masters by Research from IISc., and a PhD from Technion, Haifa, Israel, under the supervision of Prof. Robert Adler for his thesis on Random Topology. He had postdoc stints at Technion and BarIlan, and a teaching position at IIT Dharwad, Mathematics dept. He is now an Asst. Prof. at CSE, Amrita. His research interests are in Gaussian Processes, Random Topology, Mathematical Statistics, and Signal Processing.