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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…
math.PR2022
High-dimensional Berry-Esseen Bound for -Dependent Random Samples
Heejong Bong, Arun Kumar Kuchibhotla, Alessandro Rinaldo
In this work, we provide a -rate finite sample Berry-Esseen bound for -dependent high-dimensional random vectors over the class of hyper-rectangles. This bound imp…