Astronomy and Astrophysics – Astrophysics
Scientific paper
2002-06-28
Phys.Rev.D66:063006,2002
Astronomy and Astrophysics
Astrophysics
29 pages, 7 figures, submitted to Phys. Rev. D
Scientific paper
10.1103/PhysRevD.66.063006
We present a new, model-independent approach for measuring non-Gaussianity of the Cosmic Microwave Background (CMB) anisotropy pattern. Our approach is based on the empirical distribution function of the normalized spherical harmonic expansion coefficients a_lm of a nearly full-sky CMB map, like the ones expected from forthcoming satellite experiments. Using a set of Kolmogorov-Smirnov type tests, we check for Gaussianity and independency of the a_lm. We test the method on two non-Gaussian toy-models of the CMB, one generated in spherical harmonic space and one in pixel (real) space. We also provide some rigorous results, possibly of independent interest, on the exact distribution of the spherical harmonic coefficients normalized by an estimated angular power spectrum.
Hansen Frode K.
Marinucci Domenico
Natoli Paolo
Vittorio Nicola
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