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