| 粗差验后方差的无偏估计与最优稳健估计 |
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| 引用本文： | 彭军还.粗差验后方差的无偏估计与最优稳健估计[J].测绘学院学报,2000,17(2):82-85. |
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| 作者姓名： | 彭军还 |
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| 作者单位： | 桂林工学院土木工程系!广西桂林541004 |
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| 基金项目： | 广西自然科学基金资助项目!( 9912 0 0 8) |
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| 摘 要： | 在正态粗差假设下导出了粗差验后方差的无偏估计，对误差工膨胀模型和误差均值移动模型，两者的无偏估计公式是相同的。这证明了李德仁验后方差的朱建军方差不是无偏的。由于偏方定义的彭方法是正态粗差假设下的最优稳健估计。
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| 关 键 词： | 正态粗差模型 无偏验后方差 最有效稳健估计 |
The Unbiased Estimation of Posterior Variance of Gross Error and the Optimal Robust Estimate |
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| PENG Jun,huan.The Unbiased Estimation of Posterior Variance of Gross Error and the Optimal Robust Estimate[J].Journal of Institute of Surveying and Mapping,2000,17(2):82-85. |
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| Authors: | PENG Jun huan |
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| Abstract: | Under the normal assumption of gross errors, this paper derives the unbiased estimate formula of the posterior variance of the gross errors. For stochastic error model and mean shift error model, they have the same estimate formula. This proves that Li Deren posterior variance and Zhu Jianjun posterior variance aren't unbiased. The corresponding Peng method whose weight is detemined from the unbiased posterior variance is the most efficient robust estimate. |
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| Keywords: | normal model of gross errors unbiased posterior variance the most efficient robust estimate |
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