Central Limit Theorems and Approximation Theory: Part II

06/26/2023

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by   Arun Kumar Kuchibhotla, et al.

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In Part I of this article (Banerjee and Kuchibhotla (2023)), we have introduced a new method to bound the difference in expectations of an average of independent random vector and the limiting Gaussian random vector using level sets. In the current article, we further explore this idea using finite sample Edgeworth expansions and also established integral representation theorems.