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math.ST2022
A Framework for Improving the Characterization Scope of Stein's Method on Riemannian Manifolds
Xiaoda Qu, Baba C. Vemuri
Stein's method has been widely used to achieve distributional approximations for probability distributions defined in Euclidean spaces. Recently, techniques to extend Stein's metho…
math.ST2020
An Empirical Bayes Approach to Shrinkage Estimation on the Manifold of Symmetric Positive-Definite Matrices
Chun-Hao Yang, Hani Doss, Baba C. Vemuri
The James-Stein estimator is an estimator of the multivariate normal mean and dominates the maximum likelihood estimator (MLE) under squared error loss. The original work inspired…