Approximating the Likelihood Function of CMB Experiments

Details Approximating the Likelihood Function of CMB Experiments Approximating the Likelihood Function of CMB Experiments

1998-10-20

arxiv.org/abs/astro-ph/9810316v1

Astronomy and Astrophysics

Astrophysics

To be published in ``The CMB and the Planck Mission'', proceedings of a workshop held in Santander, Spain, June 1998

Scientific paper

We discuss the problem of constraining cosmological parameters with cosmic microwave background band--power estimates. Because these latter are variances, they do not have gaussian distribution functions and, hence, the standard $\chi^2$--approach is not strictly applicable. A general purpose approximation to experimental band--power likelihood functions is proposed, which requires only limited experimental details. Comparison with the full likelihood function calculated for several experiments shows that the approximation works well.

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