Exact minimax estimation of the predictive density in sparse Gaussian models

G Mukherjee, IM Johnstone - Annals of statistics, 2015‏ - pmc.ncbi.nlm.nih.gov
We consider estimating the predictive density under Kullback–Leibler loss in an ℓ0 sparse
Gaussian sequence model. Explicit expressions of the first order minimax risk along with its …

On predictive density estimation for Gamma models with parametric constraints

A L'Moudden, É Marchand, O Kortbi… - Journal of Statistical …, 2017‏ - Elsevier
This paper is concerned with prediction for Gamma models, and more specifically the
estimation of a predictive density for Y∼ G a (α 2, β) under Kullback–Leibler loss, based on …

[PDF][PDF] New and evolving roles of shrinkage in large-scale prediction and inference

E George, E Marchand, G Mukherjee, D Paul - BIRS Workshop Report, 2019‏ - birs.ca
The BIRS workshop “New and Evolving Roles of Shrinkage in Large-Scale Prediction and
Inference” brought in thirty-six experts in statistical theory, methods and related applied …

On minimax optimality of sparse Bayes predictive density estimates

G Mukherjee, IM Johnstone - arxiv preprint arxiv:1707.04380, 2017‏ - arxiv.org
We study predictive density estimation under Kullback-Leibler loss in $\ell_0 $-sparse
Gaussian sequence models. We propose proper Bayes predictive density estimates and …

Optimal Shrinkage Estimation of Predictive Densities Under α-Divergences

E George, G Mukherjee, K Yano - Bayesian Analysis, 2021‏ - projecteuclid.org
Optimal Shrinkage Estimation of Predictive Densities Under -Divergences Page 1 Bayesian
Analysis (2021) 16, Number 4, pp. 1139–1155 Optimal Shrinkage Estimation of Predictive …

On minimax optimality of sparse Bayes predictive density estimates

G Mukherjee, IM Johnstone - The Annals of Statistics, 2022‏ - projecteuclid.org
On minimax optimality of sparse Bayes predictive density estimates Page 1 The Annals of
Statistics 2022, Vol. 50, No. 1, 81–106 https://doi.org/10.1214/21-AOS2086 © Institute of …

On discrete priors and sparse minimax optimal predictive densities

U Gangopadhyay, G Mukherjee - 2021‏ - projecteuclid.org
We consider the problem of predictive density estimation under Kullback-Leibler loss in a
high-dimensional Gaussian model with exact sparsity constraints on the location …