Best affine unbiased representations in the fully restricted general Gauss-Markov model

Abstract

This article completes and simplifies earlier results on the derivation of best linear, or affine, unbiased estimates in the general Gauss–Markov model with a singular dispersion matrix and additional restrictions under very general conditions. We provide the class of all linear representations of the best affine unbiased estimator with precise statements concerning its indeterminacy.