4 papers
Stein's method for the Wishart distribution
Gabriel Bailly, Robert E. Gaunt, Frédéric Ouimet +2
In this work, we develop Stein's method for the Wishart distribution on the cone of positive definite matrices. We establish the basic ingredients of a Wishart Stein framework: we…
Stein's method for the matrix normal distribution
Robert E. Gaunt, Frédéric Ouimet, Donald Richards
This work presents the first systematic development of Stein's method for matrix distributions. We establish the basic essential ingredients of Stein's method for matrix normal app…
Wishart kernel density estimation for strongly mixing time series on the cone of positive definite matrices
Léo R. Belzile, Christian Genest, Frédéric Ouimet +1
A Wishart kernel density estimator (KDE) is introduced for density estimation in the cone of positive definite matrices. The estimator is boundary-aware and mitigates the boundary…
An explicit Wishart moment formula for the product of two disjoint principal minors
Christian Genest, Frédéric Ouimet, Donald Richards
This paper provides the first explicit formula for the expectation of the product of two disjoint principal minors of a Wishart random matrix, solving a part of a broader problem p…