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We developed a least squares fitter used for extracting expected physicsparameters from the correlated experimental data in high energy physics. Thisfitter considers the correlations among the observables and handles thenonlinearity using linearization during the $\chi^2$ minimization. This methodcan naturally be extended to the analysis with external inputs. Byincorporating with Lagrange multipliers, the fitter includes constraints amongthe measured observables and the parameters of interest. We applied this fitterto the study of the $D^{0}-\bar{D}^{0}$ mixing parameters as the test-bed basedon MC simulation. The test results show that the fitter gives unbiasedestimators with correct uncertainties and the approach is credible.

Simultaneous least squares fitter based on the Lagrange multiplier method