| 奇异线性模型下最小范数二次无偏估计关于误差分布的稳健性 |
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| 引用本文： | 邱红兵,罗季,孙旭.奇异线性模型下最小范数二次无偏估计关于误差分布的稳健性[J].华侨大学学报(自然科学版),2012(1):112-116. |
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| 作者姓名： | 邱红兵 罗季 孙旭 |
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| 作者单位： | 广东工业大学应用数学学院;浙江财经学院数学与统计学院;东北财经大学统计学院 |
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| 基金项目： | 国家自然科学基金资助项目(11171058);国家社会科学基金资助项目(11CTJ008);浙江省自然科学基金资助项目(Y6110615) |
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| 摘 要： | 讨论奇异线性模型下方差σ2的最小范数二次无偏估计关于误差分布的稳健性问题,得到方差的最小范数二次无偏估计保持最优的误差项的最大分布类.进一步考虑可估计函数Xβ的最佳线性无偏估计的稳健性,得到了Xβ的最佳线性无偏估计与方差σ2的最小范数二次无偏估计同时最优的误差项的最大类.
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| 关 键 词： | 奇异线性模型 稳健性 最佳线性无偏估计 最小范数二次无偏估计 |
Robustness of Minimum Norm Quadratic Unbiased Estimator of Variance in Terms of Error Distributions under the Singular Linear Model |
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| Institution: | QIU Hong-bing1,LUO Ji2,SU Xu3(1.Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China; 2.School of Mathematics and Statistics,Zhejiang University of Finance and Economics,Hangzhou 310018,China; 3.School of Statistics,Dongbei University of Finance and Economics,Dalian 116025,China) |
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| Abstract: | Robustness of the minimum norm quadratic unbiased estimator of variance in terms of error distributions is discussed in singular linear model.We explore the maximal distribution class of error term,where the minimum norm quadratic unbiased estimator of variance σ2 holds its optimality.Furthermore considering robustness of the best linear unbiased estimator of estimable function Xβ,we obtain the maximal distribution class of error term,where the minimum norm quadratic unbiased estimator of variance σ2 and the best linear unbiased estimator of Xβ keep optimality simultaneously. |
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| Keywords: | singular linear model robust best linear unbiased estimator minimum norm quadratic unbiased estimator |
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