59 citations · 165 across the 12 of their papers we have counts for
14 papers
On estimators of the mean of infinite dimensional data in finite populations
Anurag Dey, Probal Chaudhuri
The Horvitz-Thompson (HT), the Rao-Hartley-Cochran (RHC) and the generalized regression (GREG) estimators of the finite population mean are considered, when the observations are fr…
A comparison of estimators of mean and its functions in finite populations
Anurag Dey, Probal Chaudhuri
Several well known estimators of finite population mean and its functions are investigated under some standard sampling designs. Such functions of mean include the variance, the co…
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…
Convergence Rates for Kernel Regression in Infinite Dimensional Spaces
Joydeep Chowdhury, Probal Chaudhuri
We consider a nonparametric regression setup, where the covariate is a random element in a complete separable metric space, and the parameter of interest associated with the condit…
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…
Tests for high dimensional data based on means, spatial signs and spatial ranks
Anirvan Chakraborty, Probal Chaudhuri
Tests based on sample mean vectors and sample spatial signs have been studied in the recent literature for high dimensional data with the dimension larger than the sample size. 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…
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…
Some intriguing properties of Tukey's half-space depth
Subhajit Dutta, Anil K. Ghosh, Probal Chaudhuri
For multivariate data, Tukey's half-space depth is one of the most popular depth functions available in the literature. It is conceptually simple and satisfies several desirable pr…