Quantitative central limit theorems for Mexican needlet coefficients on circular Poisson fields

摘要

The aim of this paper is to establish rates of convergence to Gaussianity for wavelet coefficients on circular Poisson random fields. This result is established by using the Stein-Malliavin techniques introduced by Peccati and Zheng (Electron J Probab 15(48):1487-1527, 2010) and the concentration properties of so-called Mexican needlets on the circle.