Testing the Gaussianity of the COBE DMR data with spherical wavelets

Citation
Rb. Barreiro et al., Testing the Gaussianity of the COBE DMR data with spherical wavelets, M NOT R AST, 318(2), 2000, pp. 475-481
Citations number
19
Categorie Soggetti
Space Sciences
Journal title
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
ISSN journal
00358711 → ACNP
Volume
318
Issue
2
Year of publication
2000
Pages
475 - 481
Database
ISI
SICI code
0035-8711(20001021)318:2<475:TTGOTC>2.0.ZU;2-M
Abstract
We investigate the Gaussianity of the 4-yr COBE DMR data (in HEAEPix pixeli zation) using an analysis based on spherical Haar wavelets. We use all the pixels lying outside the Galactic cut and compute the skewness, kurtosis an d scale-scale correlation spectra for the wavelet coefficients at each scal e. We also lake into account the sensitivity of the method to the orientati on of the input signal. We find a detection of non-Gaussianity at >99 per c ent level in just one of our statistics. Taking into account the total numb er of statistics computed, we estimate that the probability of obtaining su ch a detection by chance for an underlying Gaussian field is 0.69. Therefor e, we conclude that the spherical wavelet technique shows no strong evidenc e of non-Gaussianity in the COBE DMR data.