2010

An Exposition of G\"otze's Estimation of the Rate of Convergence in the Multivariate Central Limit Theorem

Bhattacharya, Rabi, Holmes, Susan

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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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