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math.PR2023
Central Limit Theorems and Approximation Theory: Part II
Arun Kumar Kuchibhotla
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…
math.PR2023
Dual Induction CLT for High-dimensional m-dependent Data
Heejong Bong, Arun Kumar Kuchibhotla, Alessandro Rinaldo
We derive novel and sharp high-dimensional Berry--Esseen bounds for the sum of -dependent random vectors over the class of hyper-rectangles exhibiting only a poly-logarithmic de…