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ON INADMISSIBILITY OF SOME USUAL ESTIMATORS OF LOSS INCURRED IN ESTIMATING ERROR VARIANCE

ON INADMISSIBILITY OF SOME USUAL ESTIMATORS OF LOSS INCURRED IN ESTIMATING ERROR VARIANCE
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摘要 Under multivariant normal linear models, it is proved that usual loss estima-tors based on the uniformly minimum variance unbiased estimator and the best affinelyequivariant estimator of error variance are inadmissible with squared error loss. Under multivariant normal linear models, it is proved that usual loss estima-tors based on the uniformly minimum variance unbiased estimator and the best affinelyequivariant estimator of error variance are inadmissible with squared error loss.
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1993年第2期106-110,共5页
基金 Supported by National Natural Science Foundation of China.
关键词 NORMAL linear model unbiassed LOSS ESTIMATOR squared error LOSS Normal linear model unbiassed loss estimator squared error loss
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