15 citations · 27 across the 16 of their papers we have counts for
3 papers · 1 filter
Extreme Geometric Quantiles Under Minimal Assumptions, with a Connection to Tukey Depth
Sibsankar Singha, Marie Kratz, Sreekar Vadlamani
Geometric (also known as spatial) quantiles, introduced by Chaudhury and representing one of the three principal approaches to defining multivariate quantiles, have been well studi…
Discriminating Tail Behavior Using Halfspace Depths: Population and Empirical Perspectives
Sibsankar Singha, Marie Kratz, Sreekar Vadlamani
We study the empirical version of halfspace depths with the objective of establishing a connection between the rates of convergence and the tail behaviour of the corresponding unde…
Extremal behaviour and convergence rates for sample--based geometric quantiles and half space depths
Sibsankar Singha, Marie Kratz, Sreekar Vadlamani
We consider the empirical versions of geometric quantile and halfspace depth, and study their extremal behaviour as a function of the sample size. The objective of this study is to…