most citedBounds of the accuracy of the normal approximation to the distributions of random sums under relaxed moment conditions

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math.PR2020

Bounds for the accuracy of invalid normal approximation

Alexandra Dorofeeva, Victor Korolev, Alexander Zeifman

In applied probability, the normal approximation is often used for the distribution of data with assumed additive structure. This tradition is based on the central limit theorem fo…

math.PR2015★ 1 cited

Bounds of the accuracy of the normal approximation to the distributions of random sums under relaxed moment conditions

V. Yu. Korolev, A. V. Dorofeeva

Bounds of the accuracy of the normal approximation to the distribution of a sum of independent random variables are improved under relaxed moment conditions, in particular, under t…