Abstract
Statistical depth functions were introduced to provide a center-outward ordering of the points in the ambient space with respect to a data or probability distribution on that space. In this talk, we will introduce data depth for univariate and multivariate data along with some of their properties and statistical uses. We will then generalize these concepts for functional/infinite dimensional data and discuss some of the problems/challenges/open questions related to depth functions for such data.
About the Speaker
Dr. Anirvan Chakraborty is an Assistant Professor in the Department of Mathematics and Statistics, IISER Kolkata.