Precise Estimation of Cosmological Parameters Using a More Accurate Likelihood Function

Details Precise Estimation of Cosmological Parameters Using a More Accurate Likelihood Function Precise Estimation of Cosmological Parameters Using a More Accurate Likelihood Function

2010-11-23

arxiv.org/abs/1011.4996v2

Phys.Rev.Lett.105:251301,2010

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

5 pages, 3 figures. Maches version published by the Physical Review Letters

Scientific paper

10.1103/PhysRevLett.105.251301

The estimation of cosmological parameters from a given data set requires a construction of a likelihood function which, in general, has a complicated functional form. We adopt a Gaussian copula and constructed a copula likelihood function for the convergence power spectrum from a weak lensing survey. We show that the parameter estimation based on the Gaussian likelihood erroneously introduces a systematic shift in the confidence region, in particular for a parameter of the dark energy equation of state w. Thus, the copula likelihood should be used in future cosmological observations.

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