On the weighted least-squares,the ordinary least-squares and the best linear unbiased estimators under a restricted growth curve model |
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Authors: | Guang Jing Song Qing Wen Wang |
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Institution: | 1. School of Mathematics and Information Sciences, Weifang University, Weifang, 261061, People’s Republic of China 2. Department of Mathematics, Shanghai University, Shanghai, 200444, People’s Republic of China
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Abstract: | Necessary and sufficient conditions are given for a restricted growth curve model to be consistent. The general expressions of the weighted least-squares estimators (WLSEs), the ordinary least-squares estimators (OLSEs) and the best linear unbiased estimator (BLUE) under this model are also derived. Moreover, some algebraic and statistical properties of these estimators are presented by rank method. |
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