Astronomy and Astrophysics – Astrophysics
Scientific paper
1994-08-19
Astrophys.J.439:L29,1995
Astronomy and Astrophysics
Astrophysics
uuencoded compressed PostScript file (8 pages including 1 figure) submitted to The Astrophysical Journal Letters, August 18, 1
Scientific paper
10.1086/187737
We use the two-point correlation function of the extrema points (peaks and valleys) in the COBE Differential Microwave Radiometers (DMR) 2-year sky maps as a test for non-Gaussian temperature distribution in the cosmic microwave background anisotropy. A maximum likelihood analysis compares the DMR data to n=1 toy models whose random-phase spherical harmonic components $a_{\ell m}$ are drawn from either Gaussian, $\chi^2$, or log-normal parent populations. The likelihood of the 53 GHz (A+B)/2 data is greatest for the exact Gaussian model. All non-Gaussian models tested are ruled out at 90\% confidence, limited by type II errors in the statistical inference. The extrema correlation function is a stronger test for this class of non-Gaussian models than topological statistics such as the genus.
Banday Anthony J.
Bennett Charles L.
Hinshaw Gary
Kogut Alan
Lubin Phil M.
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