Precise Estimation of Cosmological Parameters Using a More Accurate Likelihood Function

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.

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

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• Non-Gaussian information from weak lensing data via deep learning
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• Mock galaxy shape catalogs in the Subaru Hyper Suprime-Cam Survey
• Simulations of Wide-Field Weak Lensing Surveys II: Covariance Matrix of Real Space Correlation Functions
• Impact of the non-Gaussian covariance of the weak lensing power spectrum and bispectrum on cosmological parameter estimation
• Do unequal-mass binary black hole systems have larger ${\chi }_{\text{eff}}$? Probing correlations with copulas in gravitational-wave astronomy
• The skewed weak lensing likelihood: why biases arise, despite data and theory being sound
• Copula Cosmology: Constructing a Likelihood Function
• Integrated approach to cosmology: Combining CMB, large-scale structure and weak lensing
• The improved Amati correlations from Gaussian copula
• Gaussianizing the non-Gaussian lensing convergence field I: the performance of the Gaussianization
• Non-Gaussianity in the Weak Lensing Correlation Function Likelihood -- Implications for Cosmological Parameter Biases
• Selecting and estimating regular vine copulae and application to financial returns
• Sufficiency of a Gaussian power spectrum likelihood for accurate cosmology from upcoming weak lensing surveys
• Modeling of weak lensing statistics. I. Power spectrum and bispectrum
• Far-Ultraviolet and Far-Infrared Bivariate Luminosity Function of Galaxies: Complex Relation between Stellar and Dust Emission
• Redshift-evolutionary X-ray and UV luminosity relation of quasars from Gaussian copula
• Exact joint likelihood of pseudo-$C_{\ell }$ estimates from correlated Gaussian cosmological fields
• Constructing a multivariate distribution function with a vine copula: toward multivariate luminosity and mass functions
• A quasi-Gaussian approximation for the probability distribution of correlation functions
• Modeling of weak lensing statistics. II. Configuration-space statistics
• The copula of the cosmological matter density field is non-Gaussian
• A possible explanation of vanishing halo velocity bias
• Modeling high-dimensional dependence among astronomical data