[A new method for calculating a compensation function in power series]

A new method for the derivation of a compensation function in power series is developed and compared with the linear regression of the logarithms. At the same time from the formulas of the linear regression corresponding formulas for the regression of power series without the need of logarithms are derived. Comparing the newly developed method of the "persistence report" with the linear regression of the logarithms it results that the new method often reaches a better approach of the values of the compensation function to the measured values; furthermore the new formulas are simpler and applicable without computers.