59 citations · 165 across the 12 of their papers we have counts for
7 papers · 1 filter
Multi-sample Comparison Using Spatial Signs for Infinite Dimensional Data
Joydeep Chowdhury, Probal Chaudhuri
We consider an analysis of variance type problem, where the sample observations are random elements in an infinite dimensional space. This scenario covers the case, where the obser…
Depth based inference on conditional distribution with infinite dimensional data
Joydeep Chowdhury, Probal Chaudhuri
We develop inference and testing procedures for conditional dispersion and skewness in a nonparametric regression setup based on statistical depth functions. The methods developed…
Nonparametric Depth and Quantile Regression for Functional Data
Joydeep Chowdhury, Probal Chaudhuri
We investigate nonparametric regression methods based on spatial depth and quantiles when the response and the covariate are both functions. As in classical quantile regression for…
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…
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…
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…