English

Precise Estimation of Cosmological Parameters Using a More Accurate Likelihood Function

Cosmology and Nongalactic Astrophysics 2010-12-28 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1011.4996,
  title  = {Precise Estimation of Cosmological Parameters Using a More Accurate Likelihood Function},
  author = {Masanori Sato and Kiyotomo Ichiki and Tsutomu T. Takeuchi},
  journal= {arXiv preprint arXiv:1011.4996},
  year   = {2010}
}

Comments

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

R2 v1 2026-06-21T16:47:37.077Z