Open Access
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


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.


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.


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Mauricio Salazar. "On a Berry-Esseen type limit theorem for Boolean convolution." Electron. Commun. Probab. 27 1 - 10, 2022.


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

MathSciNet: MR4375918
zbMATH: 1494.46062
Digital Object Identifier: 10.1214/22-ECP448

Primary: 46L53

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

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