| ALL ADMISSIBLE LINEAR ESTIMATES OF REGRESSION COEFFICIENTS UNDER MATRIX LOSS |
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| 作者姓名： | 吴启光 陈建宝 |
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| 作者单位： | Institute of Systems Science Academia Sinica，Beijing，China，Institute of Systems Science，Academia Sinica，Beijing，China |
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| 基金项目： | The work is supported by the Science Fund R850020 of the Academia Sinica |
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| 摘 要： | The necessary and sufficient conditions for a linear estimator of a linear estimable functionof regression coefficients in a general fixed effects linear model with the assumptions of normality to beadmissible in the class of all estimators under matrix liss function are given.For a general randomeffects or mixted effects linear model the necessary and sufficient conditions are obtained too.
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ALL ADMISSIBLE LINEAR ESTIMATES OF REGRESSION COEFFICIENTS UNDER MATRIX LOSS |
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| Wu Qiguang Chen Jianbao.ALL ADMISSIBLE LINEAR ESTIMATES OF REGRESSION COEFFICIENTS UNDER MATRIX LOSS[J].Journal of Systems Science and Complexity,1989(1). |
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| Authors: | Wu Qiguang Chen Jianbao |
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| Abstract: | The necessary and sufficient conditions for a linear estimator of a linear estimable function
of regression coefficients in a general fixed effects linear model with the assumptions of normality to be
admissible in the class of all estimators under matrix liss function are given.For a general random
effects or mixted effects linear model the necessary and sufficient conditions are obtained too. |
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| Keywords: | Admissibility matrix loss function linear model regression cofficients linear estimator |
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