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2022 On a Berry-Esseen type limit theorem for Boolean convolution
Mauricio Salazar
Author Affiliations +
Electron. Commun. Probab. 27: 1-10 (2022). DOI: 10.1214/22-ECP448

Abstract

We obtain a sharp estimate of the speed of convergence in the Boolean central limit theorem for measures with finite sixth moment. The main tool is a quantitative version of the Stieltjes-Perron inversion formula.

Funding Statement

The author thanks the support of the PRODEP postdoc program of the UASLP.

Acknowledgments

The author appreciates the various suggestions and comments from the referees which helped improve the presentation of this paper. The author is also indebted to Octavio Arizmendi for many stimulating discussions.

Citation

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Mauricio Salazar. "On a Berry-Esseen type limit theorem for Boolean convolution." Electron. Commun. Probab. 27 1 - 10, 2022. https://doi.org/10.1214/22-ECP448

Information

Received: 4 November 2020; Accepted: 10 January 2022; Published: 2022
First available in Project Euclid: 7 February 2022

Digital Object Identifier: 10.1214/22-ECP448

Subjects:
Primary: 46L53

Keywords: Berry-Esseen theorem , Boolean central limit theorem , Lévy distance , Stieltjes-Perron formula

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