8 citations · 25 across the 20 of their papers we have counts for
21 papers
Omnibus Goodness-of-Fit Testing for Distributions on Stiefel Manifolds
Dominic Edelmann, Donald Richards
In this article, a comprehensive framework for goodness-of-fit testing for distributions on Stiefel manifolds is developed. The approach is based on integrals of the squared differ…
Complete Asymptotic Expansions and the High-Dimensional Bingham Distributions
Armine Bagyan, Donald Richards
For , let be a random vector having a Bingham distribution on , the unit sphere centered at the origin in , and let denote the symmetric m…
Non-Steepness and Maximum Likelihood Estimation Properties of the Truncated Multivariate Normal Distributions
Michael Levine, Donald Richards, Jianxi Su
This article considers exponential families of truncated multivariate normal distributions with one-sided truncation for some or all coordinates. We observe that if all components…
Hoffmann-Jørgensen Inequalities for Random Walks on the Cone of Positive Definite Matrices
Armine Bagyan, Donald Richards
We consider random walks on the cone of positive definite matrices, where the underlying random matrices have orthogonally invariant distributions on the cone and the…
Product Inequalities for Multivariate Gaussian, Gamma, and Positively Upper Orthant Dependent Distributions
Dominic Edelmann, Donald Richards, Thomas Royen
The Gaussian product inequality is an important conjecture concerning the moments of Gaussian random vectors. While all attempts to prove the Gaussian product inequality in full ge…
Shrinkage Estimation for the Diagonal Multivariate Exponential Families
Nikolas Siapoutis, Donald Richards, Bharath K. Sriperumbudur
We study shrinkage estimation of the mean parameters of a class of multivariate distributions for which the diagonal entries of the corresponding covariance matrix are certain quad…