statistics

Course description Interest in the geometrical approach to statistical inference has been growing in the last decades. Starting from the seminal works of Rao (1945) and then Amari and Chentsov in the 80s, the inter-disciplinary field of Information Geometry (IG) is now well-established with few dedicated conferences and a journal Information Geometry.

Abstract A statistical data depth $d(x, \mathbb{P})$ is a measure of depth or outlyingness of a sample $x \in \mathbb{R}^p$ with respect to its underlying distribution $\mathbb{P}$ and it provides a centre-outward ordering of sample points.