Least-squares fitting with errors of measurement in both variables

The scope for using least-squares fitting is considered when the measurements on the function and the argument contain errors. General formulas are derived from a statistical approach (maximum likelihood) and an approximation approach, which differ from the traditional case in leading to distinct algorithms.Translated from Izmeritel'naya Tekhnika, No. 12, pp. 7–9, December, 1993.