5 papers
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…
Conditional Independence Testing Using Exchangeable Pairs
Bilol Banerjee
This article considers the problem of testing conditional independence between two random vectors \(bm X\) and \(\bm Y\) given a confounding random vector \(\bm Z\). An exchangeabl…
Quantitative Pulse Shape-Instability Analysis Using 2D-Runs FROG
Pedram Abdolghader, Rana Jafari, Abinash Das +3
We present a method for quantifying pulse-shape instability in a train of pulses using multi-shot Second-Harmonic-Generation Frequency-Resolved Optical Gating (SHG FROG). All versi…
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…