In this paper, we give the representation of the best linear unbiased predictor（BLUP）of the new observations under Mrf. Through the representation, we give necessary and sufficient conditions that the estimators, OL...In this paper, we give the representation of the best linear unbiased predictor（BLUP）of the new observations under Mrf. Through the representation, we give necessary and sufficient conditions that the estimators, OLSEs（ordinary least squares estimators） and BLUEs（best linear unbiased estimators）, under Mf and Mrf, and the predictor, BLUP, under Mf continue to be the BLUP under Mrf, respectively.展开更多
基金Supported by the Talent Program of Anhui Science and Technology University(Grant No.XXYJ201703)
文摘In this paper, we give the representation of the best linear unbiased predictor（BLUP）of the new observations under Mrf. Through the representation, we give necessary and sufficient conditions that the estimators, OLSEs（ordinary least squares estimators） and BLUEs（best linear unbiased estimators）, under Mf and Mrf, and the predictor, BLUP, under Mf continue to be the BLUP under Mrf, respectively.
