Approximating the likelihood function of CMB experiments

Citation
Jg. Bartlett et al., Approximating the likelihood function of CMB experiments, ASTROPHYS L, 37(3-6), 2000, pp. 321-326
Citations number
8
Categorie Soggetti
Space Sciences
Journal title
ASTROPHYSICAL LETTERS & COMMUNICATIONS
ISSN journal
08886512 → ACNP
Volume
37
Issue
3-6
Year of publication
2000
Pages
321 - 326
Database
ISI
SICI code
0888-6512(2000)37:3-6<321:ATLFOC>2.0.ZU;2-K
Abstract
We discuss the problem of constraining cosmological parameters with cosmic microwave background band-power estimates. Because these latter are varianc es, they do not have gaussian distribution functions and, hence, the standa rd chi(2)-approach is not strictly applicable. A general purpose approximat ion to experimental band-power likelihood functions is proposed, which requ ires only limited experimental details. Comparison with the full likelihood function calculated for several experiments shows that the approximation w orks well.