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We present a new, model-independent approach for measuring non-Gaussianity ofthe Cosmic Microwave Background (CMB) anisotropy pattern. Our approach is basedon the empirical distribution function of the normalized spherical harmonicexpansion coefficients a_lm of a nearly full-sky CMB map, like the onesexpected from forthcoming satellite experiments. Using a set ofKolmogorov-Smirnov type tests, we check for Gaussianity and independency of thea_lm. We test the method on two non-Gaussian toy-models of the CMB, onegenerated in spherical harmonic space and one in pixel (real) space. We alsoprovide some rigorous results, possibly of independent interest, on the exactdistribution of the spherical harmonic coefficients normalized by an estimatedangular power spectrum.Comment: 29 pages, 7 figures, submitted to Phys. Rev.

Testing for non-Gaussianity of the cosmic microwave background in harmonic space: An empirical process approach