On the RMS anisotropy at 7 deg and 10 deg observed in the COBE-DMR two year sky maps

Mathematics – Probability

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Anisotropy, Background Radiation, Normal Density Functions, Power Spectra, Probability Distribution Functions, Root-Mean-Square Errors, Astronomical Maps, Cosmic Background Explorer Satellite, Monte Carlo Method, Sky Surveys (Astronomy), Temperature Distribution

Scientific paper

The frequency-independent rms temperature fluctuations determined from the Cosmic Background Explorer-Differential Microwave Radiometer (COBE-DMR) two-year sky maps are used to infer the parameter Qrms-PS, which characterizes the normalization of power-law models of primordial cosmological temperature anisotropy, for a forced fit to a scale-invariant Harrison-Zel'dovich (n = 1) spectral model. Using a joint analysis of the 7 deg and 10 deg 'cross'-rms derived from both the 53 and 90 GHz sky maps, we find Qrms-PS = 17.0-2.1+2.5 micro Kelvin when the low quadrupole is included, and Qrms-PS = 19.4-2.1+2.3 micro Kelvin excluding the quadrupole. These results are consistent with the n = 1 fits from more sensitive methods. The effect of the low quadrupole derived from the COBE-DMR data on the inferred Qrms-PS normalization is investigated. A bias to lower Qrms-PS is found when the quadrupole is included. The higher normalization for a forced n = 1 fit is then favored by the cross-rms technique.

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