Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614426 | Journal of Mathematical Analysis and Applications | 2016 | 28 Pages |
Abstract
We show how it is possible to assess the rate of convergence in the Gaussian approximation of triangular arrays of U-statistics, built from wavelets coefficients evaluated on a spherical Poisson field of arbitrary dimension. For this purpose, we exploit the Stein–Malliavin approach introduced in the seminal paper by Peccati, Solé, Taqqu and Utzet (2011); we focus in particular on statistical applications covering evaluation of variance in non-parametric density estimation and Sobolev tests for uniformity.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Solesne Bourguin, Claudio Durastanti, Domenico Marinucci, Giovanni Peccati,