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When is the inverse regression estimator MSE-superior to the standard regression estimator in multivariate controlled calibration situations?
Sundberg, Rolf - In: Statistics & Probability Letters 3 (1985) 2, pp. 75-79
We assume as model a standard multivariate regression of y on x, fitted to a controlled calibration sample and used to estimate unknown x's from observed y-values. The standard weighted least squares estimator ('classical', regress y on x and 'solve' for x) and the biased inverse regression...
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