GAUSSIAN STATISTICS OF THE COSMIC MICROWAVE BACKGROUND: CORRELATION OF TEMPERATURE EXTREMA IN THE COBE DMR TWO-YEAR SKY MAPS

摘要

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_(lm) are drawn from either Gaussian, χ~2, or log-normal parent populations. The likelihood of the 53 GHz (A + B)/2 data is greatest for the exact Gaussian model. There is less than 10% chance that the non-Gaussian models tested describe the DMR data, limited primarily 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.