185 citations · 295 across the 7 of their papers we have counts for
8 papers
Superiority of Bayes estimators over the MLE in high dimensional multinomial models and its implication for nonparametric Bayes theory
Rabi Bhattacharya, Rachel Oliver
This article focuses on the performance of Bayes estimators, in comparison with the MLE, in multinomial models with a relatively large number of cells. The prior for the Bayes esti…
Differential Geometry for Model Independent Analysis of Images and Other Non-Euclidean Data: Recent Developments
Rabi Bhattacharya, Lizhen Lin
This article provides an exposition of recent methodologies for nonparametric analysis of digital observations on images and other non-Euclidean objects. Fréchet means of distribut…
Sustainability in the Stochastic Ramsey Model
Rabi Bhattacharya, Hyeonju Kim, Mukul Majumdar
In this paper we provide a self-contained exposition of the problem of sustaining a constant consumption level in a Ramsey model. Our focus is on the case in which the output capit…
Omnibus CLTs for Fréchet means and nonparametric inference on non-Euclidean spaces
Rabi Bhattacharya, Lizhen Lin
Two central limit theorems for sample Fréchet means are derived, both significant for nonparametric inference on non-Euclidean spaces. The first one, Theorem 2.2, encompasses and i…
An Exposition of Götze's Estimation of the Rate of Convergence in the Multivariate Central Limit Theorem
Rabi Bhattacharya, Susan Holmes
We provide an explanation of the main ideas underlying Götze's main result in using Stein's method. We also provide detailed derivations of various intermediate estimates. Curiousl…
Nonparametric statistics on manifolds with applications to shape spaces
Abhishek Bhattacharya, Rabi Bhattacharya
This article presents certain recent methodologies and some new results for the statistical analysis of probability distributions on manifolds. An important example considered in s…