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Trouble shooting for covariance fitting in highly correlated data · Around

2011

Trouble shooting for covariance fitting in highly correlated data

Yoon, Boram, Jang, Yong-Chull, Lee, Weonjong et al.

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We report a possible solution to the trouble that the covariance fitting fails when the data is highly correlated and the covariance matrix has small eigenvalues.

As an example, we choose the data analysis of highly correlated $B_K$ data on the basis of the SU(2) staggered chiral perturbation theory.
Basically, the essence of the problem is that we do not have an accurate fitting function so that we cannot fit the highly correlated and precise data.
When some eigenvalues of the covariance matrix are small, even a tiny error of fitting function can produce large chi-square and spoil the fitting procedure.

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