CMB Likelihood Functions for Beginners and Experts

Details CMB Likelihood Functions for Beginners and Experts CMB Likelihood Functions for Beginners and Experts

2003-06-24

arxiv.org/abs/astro-ph/0306506v1

AIP Conf.Proc.476:249-365,1999

Astronomy and Astrophysics

Astrophysics

Long-delayed submission. In AIP Conference Proceedings "3K Cosmology" held in Rome, Oct 5-10, 1998, edited by Luciano Maiani,

Scientific paper

10.1063/1.59329

Although the broad outlines of the appropriate pipeline for cosmological likelihood analysis with CMB data has been known for several years, only recently have we had to contend with the full, large-scale, computationally challenging problem involving both highly-correlated noise and extremely large datasets ($N > 1000$). In this talk we concentrate on the beginning and end of this process. First, we discuss estimating the noise covariance from the data itself in a rigorous and unbiased way; this is essentially an iterated minimum-variance mapmaking approach. We also discuss the unbiased determination of cosmological parameters from estimates of the power spectrum or experimental bandpowers.

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