Precise Estimation of Cosmological Parameters Using a More Accurate Likelihood Function

Masanori Sato, Kiyotomo Ichiki, and Tsutomu T. Takeuchi
Phys. Rev. Lett. 105, 251301 – Published 16 December 2010

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.

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  • Received 11 August 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.251301

© 2010 The American Physical Society

Authors & Affiliations

Masanori Sato1,2,*, Kiyotomo Ichiki1, and Tsutomu T. Takeuchi3

  • 1Department of Physics, Nagoya University, Nagoya 464-8602, Japan
  • 2Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, California 94720, USA
  • 3Institute for Advanced Research, Nagoya University, Nagoya 464-8601, Japan

  • *masanori@a.phys.nagoya-u.ac.jp

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Issue

Vol. 105, Iss. 25 — 17 December 2010

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