Bounds of the remainder in a combinatorial central limit theorem

Andrei N. Frolov

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arXiv · 1405.1670

Bounds of the remainder in a combinatorial central limit theorem

Andrei N. Frolov

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Abstract

We derive new bounds of the remainder in a combinatorial central limit theorem without assumptions on independence and existence of moments of summands. For independent random variables our theorems imply Esseen and Berry-Esseen type inequalities, some other new bounds and a combinatorial central limit theorem in the case of infinite variations.

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Andrei N. Frolov. 2014-05-07. Bounds of the remainder in a combinatorial central limit theorem. https://arxiv.org/abs/1405.1670

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