[HTML][HTML] Gaussian approximation of nonlinear statistics on the sphere

S Bourguin, C Durastanti, D Marinucci… - Journal of Mathematical …, 2016 - Elsevier
Journal of Mathematical Analysis and Applications, 2016Elsevier
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.
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.
Elsevier
以上显示的是最相近的搜索结果。 查看全部搜索结果