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20092020
most citedA nonstationary nonparametric Bayesian approach to dynamically modeling effective connectivity in functional magnetic resonance imaging experiments

6 citations · 11 across the 12 of their papers we have counts for

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math.ST2020

A Bayesian Multiple Testing Paradigm for Model Selection in Inverse Regression Problems

Debashis Chatterjee, Sourabh Bhattacharya

In this article, we propose a novel Bayesian multiple testing formulation for model and variable selection in inverse setups, judiciously embedding the idea of inverse reference di…

math.ST20201 cited

Convergence of Pseudo-Bayes Factors in Forward and Inverse Regression Problems

Debashis Chatterjee, Sourabh Bhattacharya

In the Bayesian literature on model comparison, Bayes factors play the leading role. In the classical statistical literature, model selection criteria are often devised used cross-…

math.ST20202 cited

Posterior Consistency of Bayesian Inverse Regression and Inverse Reference Distributions

Debashis Chatterjee, Sourabh Bhattacharya

We consider Bayesian inference in inverse regression problems where the objective is to infer about unobserved covariates from observed responses and covariates. We establish poste…

math.ST20201 cited

Posterior Convergence of Nonparametric Binary and Poisson Regression Under Possible Misspecifications

Debashis Chatterjee, Sourabh Bhattacharya

In this article, we investigate posterior convergence of nonparametric binary and Poisson regression under possible model misspecification, assuming general stochastic process prio…

math.ST20201 cited

High-dimensional Asymptotic Theory of Bayesian Multiple Testing Procedures Under General Dependent Setup and Possible Misspecification

Noirrit Kiran Chandra, Sourabh Bhattacharya

In this article, we investigate the asymptotic properties of Bayesian multiple testing procedures under general dependent setup, when the sample size and the number of hypotheses b…

math.ST2020

Bayesian Characterizations of Properties of Stochastic Processes with Applications

Sucharita Roy, Sourabh Bhattacharya

In this article, we primarily propose a novel Bayesian characterization of stationary and nonstationary stochastic processes. In practice, this theory aims to distinguish between g…