Improving the Error Estimation in Cosmological Parameter by the Third Order Expansion of the Natural Logarithm of the Likelihood
نویسندگان
چکیده
The Fisher matrix formalism is a method of error forecasting and the method has been widely used in cosmological data analysis because of its convenience and effectiveness. It is based on the second-order expansion of the logarithm of the likelihood function in the parameter space, and the estimated error contours are ellipsoids in the parameter space. With real-world data, the error contours are usually have shapes more complicated than ellipsoids and hence the Fisher matrix formalism underor overestimates errors. This paper investigates a generalization of the Fisher matrix formalism based on the third order expansion in the logarithm of the likelihood function.
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