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math.ST2019★ 3 cited
A General Framework for Empirical Bayes Estimation in Discrete Linear Exponential Family
Trambak Banerjee, Qiang Liu, Gourab Mukherjee +1
We develop a Nonparametric Empirical Bayes (NEB) framework for compound estimation in the discrete linear exponential family, which includes a wide class of discrete distributions…
math.ST2019
Sparse Minimax Optimality of Bayes Predictive Density Estimates from Clustered Discrete Priors
Ujan Gangopadhyay, Gourab Mukherjee
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 parameters…