CMB anisotropy power spectrum statistics

Details CMB anisotropy power spectrum statistics CMB anisotropy power spectrum statistics

1998-10-16

arxiv.org/abs/astro-ph/9810248v2

Astronomy and Astrophysics

Astrophysics

Typo corrected. 5 pages, 4 figures. To appear in "Evolution of Large Scale Structure", Garching, A. J. Banday et al. (Eds.) (1

Scientific paper

Much attention has been given to the problem of estimating cosmological parameters from the $C_l$ measured by future experiments. Many of the approaches which are being used either invoke poorly controlled approximations or are computationally expensive. We derive exact results as well as fast and highly accurate approximations for mapping a theoretical model onto the observed power spectrum coefficients and computing their statistical properties. These results obtain from an analytic framework which applies for any azimuthally symmetric sky coverage regardless of the fraction of the sky observed by the experiment.

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