Comments on the statistical analysis of excess variance in the COBE differential microwave radiometer maps

Details Comments on the statistical analysis of excess variance in the COBE differential microwave radiometer maps Comments on the statistical analysis of excess variance in the COBE differential microwave radiometer maps

Jan 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...420....1w&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 420, no. 1, p. 1-8

Astronomy and Astrophysics

Astronomy

111

Microwave Radiometers, Monte Carlo Method, Signal To Noise Ratios, Sky Surveys (Astronomy), Variance (Statistics), Anisotropy, Cosmic Background Explorer Satellite, Cosmology, Data Smoothing, Power Spectra, Quadrupoles

Scientific paper

Cosmic anisotrophy produces an excess variance sq sigmasky in the Delta maps produced by the Differential Microwave Radiometer (DMR) on cosmic background explorer (COBE) that is over and above the instrument noise. After smoothing to an effective resolution of 10 deg, this excess sigmasky(10 deg), provides an estimate for the amplitude of the primordial density perturbation power spectrum with a cosmic uncertainty of only 12%. We employ detailed Monte Carlo techniques to express the amplitude derived from this statistic in terms of the universal root mean square (rms) quadrupole amplitude, (Q sq/RMS)0.5. The effects of monopole and dipole subtraction and the non-Gaussian shape of the DMR beam cause the derived (Q sq/RMS)0.5 to be 5%-10% larger than would be derived using simplified analytic approximations. We also investigate the properties of two other map statistics: the actual quadrupole and the Boughn-Cottingham statistic. Both the sigmasky(10 deg) statistic and the Boughn-Cottingham statistic are consistent with the (Q sq/RMS)0.5 = 17 +/- 5 micro K reported by Smoot et al. (1992) and Wright et al. (1992).

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