One of the calibration problems. (English) Zbl 0959.62052

Summary: Two measurement devices are characterized by dispersions \(\sigma^2_1\) and \(\sigma^2_2\) of their registration. The ratio \(\sigma^2_1/\sigma^2_2\) is a priori unknown and approximations \(\sigma^2_{1,0}\) and \(\sigma^2_{2,0}\) are at our disposal only. The relation between errorless registrations of these devices is given by the calibration curve.
One of the procedures of constructing this curve is described in this paper. Futher, accuracy characteristics of the calibration curve parameters estimators and the MINQUE \(\widehat\sigma^2_1\) and \(\widehat\sigma^2_2\) of the dispersions \(\sigma^2_1\) and \(\sigma^2_2\) are given.


62H12 Estimation in multivariate analysis
62J99 Linear inference, regression
62J05 Linear regression; mixed models
62F10 Point estimation


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