Likelihood distribution for models with cosmological constant from COBE data

Astronomy and Astrophysics – Astrophysics

Scientific paper

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19 pages, 7 figures. Added references. Accepted for publication in ApJ

Scientific paper

10.1086/322066

Using COBE-DMR 4-year data, we find a general expression yielding the likelihood distribution in the 3-dimensional parameter space spanned by the spectral index $n$, the spectral amplitude $a_{10}$ and the false-vacuum density parameter $\Omega_\Lambda$. Using such simple expression, the range of possible normalizations, within a given likelihood interval from top-likelihood normalization, is readily found, with fair approximation, for any model with total density parameter $\Omega_o = 1$ and assigned $n$ and $\Omega_\Lambda$.

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