The asymptotic Berry-Esseen constant for intervals
Todor Dinev, Lutz Mattner
TL;DR
This paper determines the exact asymptotic constant in the Berry-Esseen inequality specifically for interval probabilities, establishing it as sqrt(2/pi).
Contribution
It identifies the precise asymptotic Berry-Esseen constant for interval probabilities, advancing understanding of convergence rates in probability theory.
Findings
The asymptotic Berry-Esseen constant for intervals is sqrt(2/pi).
Provides a precise value for the constant in the inequality.
Enhances theoretical understanding of distribution convergence.
Abstract
The asymptotic constant in the Berry-Esseen inequality for interval probabilities is shown to be sqrt(2/pi).
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