# Likelihood of the Power Spectrum in Cosmological Parameter Estimation

@article{Sun2013LikelihoodOT, title={Likelihood of the Power Spectrum in Cosmological Parameter Estimation}, author={Lingling Sun and Qin Wang and Hu Zhan}, journal={The Astrophysical Journal}, year={2013}, volume={777}, pages={75} }

The likelihood function is a crucial element of parameter estimation. In analyses of galaxy overdensities and weak lensing shear, one often approximates the likelihood of the power spectrum with a Gaussian distribution. The posterior probability derived from such a likelihood deviates considerably from the exact posterior on the largest scales probed by any survey, where the central limit theorem does not apply. We show that various forms of Gaussian likelihoods can have a significant impact on… CONTINUE READING

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