Testing the Gaussianity of the COBE-DMR data with spherical wavelets

Details Testing the Gaussianity of the COBE-DMR data with spherical wavelets Testing the Gaussianity of the COBE-DMR data with spherical wavelets

2000-04-14

arxiv.org/abs/astro-ph/0004202v1

Mon.Not.Roy.Astron.Soc. 318 (2000) 475

Astronomy and Astrophysics

Astrophysics

latex file 7 pages, 6 figures, submitted to MNRAS

Scientific paper

We investigate the Gaussianity of the 4-year COBE-DMR data (in HEALPix pixelisation) using an analysis based on spherical Haar wavelets. We use all the pixels lying outside the Galactic cut and compute the skewness, kurtosis and scale-scale correlation spectra for the wavelet coefficients at each scale. We also take into account the sensitivity of the method to the orientation of the input signal. We find a detection of non-Gaussianity at $> 99$ per cent level in just one of our statistics. Taking into account the total number of statistics computed, we estimate that the probability of obtaining such a detection by chance for an underlying Gaussian field is 0.69. Therefore, we conclude that the spherical wavelet technique shows no strong evidence of non-Gaussianity in the COBE-DMR data.

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