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Simple least squares estimation versus best linear unbiased prediction
Authors:JK Baksalary  R Kala
Institution:Department of Mathematical and Statistical Methods, Academy of Agriculture, 60–637 Poznań, Poland
Abstract:Necessary and sufficient conditions are developed for the simple least squares estimator to coincide with the best linear unbiased predictor. The conditions obtained are valid for a general linear model and are generalizations of the condition given by Watson (1972). Also, as a preliminary result, a new representation of the best linear unbiased predictor is established.
Keywords:Primary 62J05  Linear Model  Best Linear Unbiased Predictor  Best Linear Unbiased Estimator  Simple Least Squares Estimator
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