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Gaussian approximation of nonlinear statistics on the sphere.
- Source :
-
Journal of Mathematical Analysis & Applications . Apr2016, Vol. 436 Issue 2, p1121-1148. 28p. - Publication Year :
- 2016
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 436
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 112241047
- Full Text :
- https://doi.org/10.1016/j.jmaa.2015.12.036