%0 Journal Article %T An Exposition of G£¿tze's Estimation of the Rate of Convergence in the Multivariate Central Limit Theorem %A Rabi Bhattacharya %A Susan Holmes %J Statistics %D 2010 %I arXiv %X 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. %U http://arxiv.org/abs/1003.4254v1