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In this paper we consider the estimation of regression coefficients in two partitioned linear models, shortly denoted as , and , which differ only in their covariance matrices. We call and full models, and correspondingly, and small models. We give a necessary and sufficient condition for the equality between the best linear unbiased estimators (BLUEs) of X1β1 under and . In particular, we consider the equality of the BLUEs under the full models assuming that they are equal under the small models. 相似文献
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