An Exposition of Götze's Estimation of the Rate of Convergence in the Multivariate Central Limit Theorem

Mathematics – Statistics Theory

Scientific paper

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Scientific paper

We provide an explanation of the main ideas underlying G\"otze's main result
in using Stein's method. We also provide detailed derivations of various
intermediate estimates. Curiously, we are led to a different dimensional
dependence of the constant than that given G\"otze's paper. We would like to
dedicate this to Charles Stein on the occasion of his 90th birthday.

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