Abstract: | We consider the Gauss-Markoff model (Y,X0β,σ2V) and provide solutions to the following problem: What is the class of all models (Y,Xβ,σ2V) such that a specific linear representation/some linear representation/every linear representation of the BLUE of every estimable parametric functional p'β under (Y,X0β,σ2V) is (a) an unbiased estimator, (b) a BLUE, (c) a linear minimum bias estimator and (d) best linear minimum bias estimator of p'β under (Y,Xβ,σ2V)? We also analyse the above problems, when attention is restricted to a subclass of estimable parametric functionals. |