59 citations · 67 across the 9 of their papers we have counts for
8 papers · 1 filter
Testing for the Rank of a Covariance Operator
Anirvan Chakraborty, Victor M. Panaretos
How can we discern whether the covariance operator of a stochastic process is of reduced rank, and if so, what its precise rank is? And how can we do so at a given level of confide…
Regression with genuinely functional errors-in-covariates
Anirvan Chakraborty, Victor M. Panaretos
Contamination of covariates by measurement error is a classical problem in multivariate regression, where it is well known that failing to account for this contamination can result…
Functional Registration and Local Variations: Identifiability, Rank, and Tuning
Anirvan Chakraborty, Victor M. Panaretos
We develop theory and methodology for the problem of nonparametric registration of functional data that have been subjected to random deformation (warping) of their time scale. The…
Hybrid Regularisation of Functional Linear Models
Anirvan Chakraborty, Victor M. Panaretos
We consider the problem of estimating the slope function in a functional regression with a scalar response and a functional covariate. This central problem of functional data analy…
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…