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Gaussian statistics of the cosmic microwave background: Correlation of temperature extrema in the COBE DMR two-year sky mapsWe use the two-point correlation function of the extrema points (peaks and valleys) in the Cosmic Background Explorer (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(sub lm) are drawn from either Gaussian, chi-square, 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.
Document ID
19950040651
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Kogut, A. (NASA Goddard Space Flight Center Greenbelt, MD, United States)
Banday, A. J. (NASA Goddard Space Flight Center Greenbelt, MD, United States)
Bennett, C. L. (NASA Goddard Space Flight Center Greenbelt, MD, United States)
Hinshaw, G. (NASA Goddard Space Flight Center Greenbelt, MD, United States)
Lubin, P. M. (University of California, Santa Barbara, Santa Barbara, CA United States)
Smoot, G. F. (University of California, Berkeley, CA United States)
Date Acquired
August 16, 2013
Publication Date
February 1, 1995
Publication Information
Publication: Astrophysical Journal, Part 2 - Letters
Volume: 439
Issue: 2
ISSN: 0004-637X
Subject Category
ASTROPHYSICS
Distribution Limits
Public
Copyright
Other