59 citations · 165 across the 12 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
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…
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…
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…