| 秩亏网伪逆平差值的修正估计 |
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| 引用本文： | 刘丁酉. 秩亏网伪逆平差值的修正估计[J]. 武汉大学学报 ( 信息科学版),1988,13(3): 90-100. |
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| 作者姓名： | 刘丁酉 |
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| 摘 要： | 本文在[1]的基础上提出了秩亏的带权测量平差模型中禾知参数向量的一种线性有偏估计——秩亏网伪逆平差值的修正估计,并着重讨论了该估计在均方误差意义下改进最小二乘估计的优越性、可容许性及新产生的偏差。最后通过实例验证了所得结果。
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| 关 键 词： | 线性有偏估计 均方误差 组合主成分估计 秩亏网伪逆平差值的修正估计 |
| 收稿时间： | 1987-09-26 |
Corrective Estimation of Pseudo-Inverse Adjustment of Rank-Defect Net |
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| Liu Dingyou. Corrective Estimation of Pseudo-Inverse Adjustment of Rank-Defect Net[J]. Geomatics and Information Science of Wuhan University ,1988,13(3): 90-100. |
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| Authors: | Liu Dingyou |
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| Affiliation: | Liu Dingyou |
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| Abstract: | On the basis of reference [1], the paper presents a linear biased estimation, which is called the corrective estimation of pseudo-inverse adjustment of rank-defect net of unknown parameter vectors in the model of rank-defect surveying adjustment with weight. It also discusses in great detail the superiority, admissibility and new bias of the estimation in improving the results of least squares adjustment in terms of the mean squared error. Finally, the results mentioned above are tested by an example. |
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| Keywords: | linear biased estimation mean squared error combination principal components estimation corrective estimation of pseudo-inverse adjustment of rank-defect net |
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