The empirical process on Gaussian spherical harmonics
Statistics Theory
2007-06-13 v1 Statistics Theory
Abstract
We establish weak convergence of the empirical process on the spherical harmonics of a Gaussian random field in the presence of an unknown angular power spectrum. This result suggests various Gaussianity tests with an asymptotic justification. The issue of testing for Gaussianity on isotropic spherical random fields has recently received strong empirical attention in the cosmological literature, in connection with the statistical analysis of cosmic microwave background radiation.
Keywords
Cite
@article{arxiv.math/0406526,
title = {The empirical process on Gaussian spherical harmonics},
author = {Domenico Marinucci and Mauro Piccioni},
journal= {arXiv preprint arXiv:math/0406526},
year = {2007}
}