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QIU Hong-bing, LUO Ji. Balanced generalized LS estimation of the regressive coefficient[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 66-71,1.
Citation:
QIU Hong-bing, LUO Ji. Balanced generalized LS estimation of the regressive coefficient[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 66-71,1.
QIU Hong-bing, LUO Ji. Balanced generalized LS estimation of the regressive coefficient[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 66-71,1.
Citation:
QIU Hong-bing, LUO Ji. Balanced generalized LS estimation of the regressive coefficient[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 66-71,1.
Based on the idea of balanced loss function, a new measuring standard for the estimations of uperiorities was proposed for general linear models. Under the new standard, the balanced generalized LS estimation of the regressive coefficient was derived. The necessary and sufficient condition for its unbiasedness was discussed and its superiority over BLUE in terms of the mean square error matrix criterion was studied.