5 papers
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…
Sub-dimensional Mardia measures of multivariate skewness and kurtosis
Joydeep Chowdhury, Subhajit Dutta, Reinaldo B. Arellano-Valle +1
The Mardia measures of multivariate skewness and kurtosis summarize the respective characteristics of a multivariate distribution with two numbers. However, these measures do not r…
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…