59 citations · 165 across the 12 of their papers we have counts for
6 papers · 1 filter
Paired sample tests in infinite dimensional spaces
Anirvan Chakraborty, Probal Chaudhuri
The sign and the signed-rank tests for univariate data are perhaps the most popular nonparametric competitors of the t test for paired sample problems. These tests have been extend…
Comparison of multivariate distributions using quantile-quantile plots and related tests
Subhra Sankar Dhar, Biman Chakraborty, Probal Chaudhuri
The univariate quantile-quantile (Q-Q) plot is a well-known graphical tool for examining whether two data sets are generated from the same distribution or not. It is also used to d…
A Wilcoxon-Mann-Whitney type test for infinite dimensional data
Anirvan Chakraborty, Probal Chaudhuri
The Wilcoxon-Mann-Whitney test is a robust competitor of the t-test in the univariate setting. For finite dimensional multivariate data, several extensions of the Wilcoxon-Mann-Whi…
The deepest point for distributions in infinite dimensional spaces
Anirvan Chakraborty, Probal Chaudhuri
Identification of the center of a data cloud is one of the basic problems in statistics. One popular choice for such a center is the median, and several versions of median in finit…
On data depth in infinite dimensional spaces
Anirvan Chakraborty, Probal Chaudhuri
The concept of data depth leads to a center-outward ordering of multivariate data, and it has been effectively used for developing various data analytic tools. While different noti…
The spatial distribution in infinite dimensional spaces and related quantiles and depths
Anirvan Chakraborty, Probal Chaudhuri
The spatial distribution has been widely used to develop various nonparametric procedures for finite dimensional multivariate data. In this paper, we investigate the concept of spa…