Theoretical Statistics and Mathematics Unit, ISI Delhi

July 28, 2016 (Thursday) ,
3:30 PM at Webinar

Speaker:
Arijit Chakrabarty,
Stat Math Unit, ISI Delhi

Title:
Asymptotic behaviour of Gaussian minima

Abstract of Talk

In this joint work with Gennady Samorodnitsky, we investigate what happens when an entire sample path of a smooth Gaussian process on a compact interval lies above a high level. Specifically, we determine the precise asymptotic probability of such an event, the extent to which the high level is exceeded, the conditional shape of the process above the high level, and the location of the minimum of the process given that the sample path is above a high level.