Tests of Gaussianity
Abstract
We review two powerful methods to test the Gaussianity of the cosmic microwave background (CMB): one based on the distribution of spherical wavelet coefficients and the other on smooth tests of goodness-of-fit. The spherical wavelet families proposed to analyse the CMB are the Haar and the Mexican Hat ones. The latter is preferred for detecting non-Gaussian homogeneous and isotropic primordial models containing some amount of skewness or kurtosis. Smooth tests of goodness-of-fit have recently been introduced in the field showing some interesting properties. We will discuss the smooth tests of goodness-of-fit developed by Rayner and Best for the univariate as well as for the multivariate analysis.
Cite
@article{arxiv.astro-ph/0310706,
title = {Tests of Gaussianity},
author = {A. M. Aliaga and E. Martinez-Gonzalez and L. Cayon and F. Argueso and J. L. Sanz and R. B. Barreiro and J. E. Gallegos},
journal= {arXiv preprint arXiv:astro-ph/0310706},
year = {2015}
}
Comments
Proceedings of "The Cosmic Microwave Background and its Polarization", New Astronomy Reviews, (eds. S. Hanany and K.A. Olive), in press