Comparison of best linear unbiased estimators under a general linear model

This thesis is organized in five parts. In the first chapter, an introduction is given by mentioning the purpose of the study. In the second part, the basic definitions, theorems and general information that will be required in our study are expressed. In the third section, the best linear unbiased estimator (BLUE) of several parametric functions under a general linear model and its restricted models are considered. Furthermore, some necessary and sufficient conditions are investigated for equalities of best linear unbiased estimators of parametric functions according to structures of model matrices and covariance matrices in general linear models. In the fourth chapter, conclusions and recommendations are given. In the fifth chapter, the sources used in the thesis are listed.