4 papers · 1 filter
On High-Dimensional Change-Point Detection Based on Pairwise Distances
Spandan Ghoshal, Bilol Banerjee, Anil K. Ghosh
In change-point analysis, one aims at finding the locations of abrupt distributional changes (if any) in a sequence of multivariate observations. In this article, we propose some n…
A nonparametric test of spherical symmetry applicable to high dimensional data
Bilol Banerjee, Anil K. Ghosh
We develop a test for spherical symmetry of a multivariate distribution that works well even when the dimension of the data is larger than the sample size . We propose…
Exact distribution-free tests of spherical symmetry applicable to high dimensional data
Bilol Banerjee, Anil K. Ghosh
We develop some graph-based tests for spherical symmetry of a multivariate distribution using a method based on data augmentation. These tests are constructed using a new notion of…
A Ball Divergence Based Measure For Conditional Independence Testing
Bilol Banerjee, Bhaswar B. Bhattacharya, Anil K. Ghosh
In this paper we introduce a new measure of conditional dependence between two random vectors and given another random vector us…