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Phys. Rev. D 69, 063007 (2004) [11 pages]

Search for non-Gaussianity in pixel, harmonic, and wavelet space: Compared and combined

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Paolo Cabella1,*, Frode Hansen1,†, Domenico Marinucci2,‡, Daniele Pagano1, and Nicola Vittorio1
1Dipartimento di Fisica, Università di Roma “Tor Vergata,” Via della Ricerca Scientifica 1, I-00133 Roma, Italy
2Dipartimento di Matematica, Università di Roma “Tor Vergata,” Via della Ricerca Scientifica 1, I-00133 Roma, Italy

Received 8 July 2003; revised 2 December 2003; published 25 March 2004

We present a comparison between three approaches to test the non-Gaussianity of cosmic microwave background data. The Minkowski functionals, the empirical process method, and the skewness of wavelet coefficients are applied to maps generated from nonstandard inflationary models and to Gaussian maps with point sources included. We discuss the different power of the pixel, harmonic, and wavelet space methods on these simulated almost full-sky data (with Planck-like noise). We also suggest a new procedure consisting of a combination of statistics in pixel, harmonic, and wavelet space.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.063007
DOI:
10.1103/PhysRevD.69.063007
PACS:
95.75.Pq, 02.50.Ng, 02.50.Tt, 98.80.Es

*Electronic address: Paolo.Cabella@roma2.infn.it

Electronic address: frodekh@roma2.infn.it

Electronic address: marinucc@mat.uniroma2.it