First order covariance inequalities via Stein's method

We propose probabilistic representations for inverse Stein operators (i.e., solutions to Stein equations) under general conditions; in particular, we deduce new simple expressions for the Stein kernel. These representations allow to deduce uniform and nonuniform Stein factors (i.e., bounds on soluti...

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Bibliographic Details
Main Authors: Ernst, M, Reinert, G, Swan, Y
Format: Journal article
Language:English
Published: Bernoulli Society for Mathematical Statistics and Probability 2020