Problems of sensitiveness and linearization in a determination of isobestic points. (English) Zbl 1070.62057

The best linear unbiased estimator of the coordinates \((T,\eta )\) of an isobestic point (i.e., a point where several regression functions are crossed) is given in the case of linear and quadratic regression functions, respectively. Considered are two criteria for a decision whether empirical variances and a linearization of the model can be used. The first criterion is the insensitivity region for the accuracy of the determination of \(T\). The second one is the linearization region for the regression parameters in relation to the bias of the estimator of \(T\). A numerical example clarifies the considered procedures and obtained results.


62J05 Linear regression; mixed models


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