3 papers
math.PR2019
Some new Stein operators for product distributions
Robert E. Gaunt, Guillaume Mijoule, Yvik Swan
We provide a general result for finding Stein operators for the product of two independent random variables whose Stein operators satisfy a certain assumption, extending a recent r…
math.PR2018
Stein operators, kernels and discrepancies for multivariate continuous distributions
Guillaume Mijoule, Gesine Reinert, Yvik Swan
In this paper we present a general framework for Stein's method for multivariate continuous distributions. The approach gives a collection of Stein characterisations, among which w…
math.PR2018
Regularity of solutions of the Stein equation and rates in the multivariate central limit theorem
Thomas Gallouët, Guillaume Mijoule, Yvik Swan
Consider the multivariate Stein equation , where is a standard -dimensional Gaussian random vector, and let be the solution give…