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08/09/2023
Heavy-tailed Bayesian nonparametric adaptation
We propose a new Bayesian strategy for adaptation to smoothness in nonpa...
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01/19/2023
Semiparametric inference using fractional posteriors
We establish a general Bernstein–von Mises theorem for approximately lin...
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05/25/2022
Bayesian Multiscale Analysis of the Cox Model
Piecewise constant priors are routinely used in the Bayesian Cox proport...
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10/11/2021
Optional Pólya trees: posterior rates and uncertainty quantification
We consider statistical inference in the density estimation model using ...
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09/28/2021
Sharp multiple testing boundary for sparse sequences
This work investigates multiple testing from the point of view of minima...
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02/01/2021
Empirical Bayes cumulative ℓ-value multiple testing procedure for sparse sequences
In the sparse sequence model, we consider a popular Bayesian multiple te...
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01/12/2021
Bayesian inference in high-dimensional models
Models with dimension more than the available sample size are now common...
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01/11/2021
Multiple Testing in Nonparametric Hidden Markov Models: An Empirical Bayes Approach
Given a nonparametric Hidden Markov Model (HMM) with two states, the que...
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05/06/2020
Multiscale Bayesian Survival Analysis
We consider Bayesian nonparametric inference in the right-censoring surv...
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11/27/2019
Spike and Slab Pólya tree posterior distributions
In the density estimation model, the question of adaptive inference usin...
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10/16/2019
Multiscale Analysis of Bayesian CART
This paper affords new insights about Bayesian CART in the context of st...
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08/29/2018
On spike and slab empirical Bayes multiple testing
This paper explores a connection between empirical Bayes posterior distr...
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08/23/2018
Spike and slab empirical Bayes sparse credible sets
In the sparse normal means model, coverage of adaptive Bayesian posterio...
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01/05/2018