3 papers
math.ST2026
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…
math.ST2025
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…
stat.ME2024
Comparing Multivariate Distributions: A Novel Approach Using Optimal Transport-based Plots
Sibsankar Singha, Marie Kratz, Sreekar Vadlamani
Quantile-Quantile (Q-Q) plots are widely used for assessing the distributional similarity between two datasets. Traditionally, Q-Q plots are constructed for univariate distribution…