## 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.

### MSC:

 62J05 Linear regression; mixed models

### References:

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