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ON INADMISSIBILITY OF SOME USUAL ESTIMATORS OF LOSS INCURRED IN ESTIMATING ERROR VARIANCE
作者姓名:WU Qiguang Institute of Systems Science  Academia Sinica  Beijing  China
作者单位:WU Qiguang Institute of Systems Science,Academia Sinica,Beijing 100080,China
基金项目:Supported by National Natural Science Foundation of China.
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.


ON INADMISSIBILITY OF SOME USUAL ESTIMATORS OF LOSS INCURRED IN ESTIMATING ERROR VARIANCE
WU Qiguang Institute of Systems Science,Academia Sinica,Beijing ,China.ON INADMISSIBILITY OF SOME USUAL ESTIMATORS OF LOSS INCURRED IN ESTIMATING ERROR VARIANCE[J].Journal of Systems Science and Complexity,1993(2).
Authors:WU Qiguang Institute of Systems Science  Academia Sinica  Beijing  China
Institution:WU Qiguang Institute of Systems Science,Academia Sinica,Beijing 100080,China
Abstract:Under multivariant normal linear models, it is proved that usual loss estima- tors based on the uniformly minimum variance unbiased estimator and the best affinely equivariant estimator of error variance are inadmissible with squared error loss.
Keywords:Normal linear model  unbiassed loss estimator  squared error loss
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