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Tests of Gaussianity

A. M. Aliaga·E. Martinez-Gonzalez·L. Cayon·F. Argueso·J. L. Sanz·R. B. Barreiro·J. E. Gallegos
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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.

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A. M. Aliaga, E. Martinez-Gonzalez, L. Cayon, F. Argueso, J. L. Sanz, R. B. Barreiro, J. E. Gallegos. 2003-10-24. Tests of Gaussianity. https://doi.org/10.1016/j.newar.2003.09.004

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