3 papers
math.PR2020
On a Berry-Esseen type limit theorem for Boolean convolution
Mauricio Salazar
We obtain a sharp estimate of the speed of convergence in the Boolean central limit theorem for measures of finite sixth moment. The main tool is a quantitative version of the Stie…
math.FA2018
Berry-Esseen type estimate and return sequence for parabolic iteration in the upper half-plane
Octavio Arizmendi, Mauricio Salazar, Jiun-Chau Wang
Two different aspects of parabolic iteration in the complex upper half-plane are considered here. First, from a noncommutative probability perspective, a Berry-Esseen type estimate…
math.PR2017
A Berry Esseen type limit theorem for Boolean convolution
Octavio Arizmendi, Mauricio Salazar
We give estimates on the rate of convergence in the Boolean central limit theorem for the Lévy distance. In the case of measures with bounded support we obtain a sharp estimate by…