Volume 410, Number 1, October IV 2003
|Page(s)||11 - 16|
|Section||Cosmology (including clusters of galaxies)|
|Published online||17 November 2003|
Goodness–of–fit statistics and CMB data sets
Observatoire Midi-Pyrénées, 14 Av. E. Belin, 31400 Toulouse, France Unité associée au CNRS ()
2 Astrophysics, Denis Wylkinson Building, Keble Road, Oxford OX1 3RH, UK ()
3 APC, Université Paris 7, 11 Pl. Marcelin-Berthelot, Paris Cedex 05, France ()
Corresponding author: M. Douspis, firstname.lastname@example.org
Accepted: 19 May 2003
Application of a Goodness–of–fit (GOF) statistic is an essential element in parameter estimation. We discuss the computation of GOF when estimating parameters from anisotropy measurements of the cosmic microwave background (CMB), and we propose two GOF statistics to be used when employing approximate band–power likelihood functions. They are based on an approximate form for the distribution of band–power estimators that requires only minimal experimental information to construct. Monte Carlo simulations of CMB experiments show that the proposed form describes the true distributions quite well. We apply these GOF statistics to current CMB anisotropy data and discuss the results.
Key words: cosmology: cosmic microwave background / cosmology: observations / cosmology: theory
© ESO, 2003
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