Journal
PHYSICAL REVIEW D
Volume 83, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.83.023501
Keywords
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Funding
- JSPS
- Program for Improvement of Research Environment for Young Researchers from Special Coordination Funds for Promoting Science and Technology
- MEXT of Japan [467]
- [20740105]
- [21740177]
- [22012004]
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To estimate cosmological parameters from a given data set, we need to construct a likelihood function, which sometimes has a complicated functional form. We introduce the copula, a mathematical tool to construct an arbitrary multivariate distribution function from one-dimensional marginal distribution functions with any given dependence structure. It is shown that a likelihood function constructed by the so-called Gaussian copula can reproduce very well the n-dimensional probability distribution of the cosmic shear power spectrum obtained from a large number of ray-tracing simulations. This suggests that the Copula likelihood will be a powerful tool for future weak lensing analyses, instead of the conventional multivariate Gaussian likelihood.
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