Description: Linear least xi/sup 2/-fits will in general give wrong results to the data since the errors are not properly handled. In this note we discuss a solution for this problem. This paper covers briefly the standard X/sup 2/-fitting of trajectory parameters and discusses the case of linear correlations between independent measurements which are all subject to stochastic noise. An analytic solution for unbiased fits including the error analysis is derived. Examples are presented. The mathematical analysis is involved and possibly not of a general interest. The fit methods are available as general software packages on the MCC/SLC-VAX. Similar packages were produced for the HP 28 S pocket calculator for testing purposes. The methods were successfully applied for online monitoring of dispersion functions and transfer-matrix elements. 3 figs.
Date: February 1, 1989
Creator: Lohse, T. & Emma, P.
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