B0424
Title: From geometric quantiles to halfspace depths: A geometric approach for extremal behavior
Authors: Sibsankar Singha - TIFR-CAM (India) [presenting]
Marie Kratz - ESSEC Business School, CREAR (France)
Sreekar Vadlamani - TIFR-CAM (India)
Abstract: The asymptotics are investigated for two geometric measures, geometric quantiles and half-space depths. While much literature is known on the population side, some gaps there are filled out to obtain a full picture, before turning to the sample versions, where the questions on asymptotics become crucial in view of applications. The aim is to provide rates of convergence for the sample versions and address the extremal behaviour of the geometric measures according to the type of underlying distribution.
