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| 半参数估计与LS估计的有效性比较 | |
| 引用本文： | 吴友平,彭军还,鲁铁定.半参数估计与LS估计的有效性比较[J].测绘科学,2009,34(1). |
| 作者姓名： | 吴友平 彭军还 鲁铁定 |
| 作者单位： | 1. 南昌大学科学技术学院,南昌,330029 2. 中国地质大学土地科学技术学院测绘工程系,北京,100083 3. 东华理工大学,地球科学与测绘学院,江西抚州,344000 |
| 摘 要： | 建立半参数回归模型,将系统误差加入,推导出了模型正则化矩阵时参数平差的计算方法,并用直接法得到了参数、非参数的估计量,在MSE准则下与最小二乘估值(简称LS估值)进行比较,证明了半参数估值的有效性。 |
| 关 键 词： | 补偿最小二乘原理 矩阵I分解法 MSE准则 |
The efficiency of semi-parameter estimation compared with the LS estimation |
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| WU You-ping,PENG Jun-huan,LU Tie-ding.The efficiency of semi-parameter estimation compared with the LS estimation[J].Science of Surveying and Mapping,2009,34(1). | |
| Authors: | WU You-ping PENG Jun-huan LU Tie-ding |
| Abstract: | Firstly,a semi-parameter regression model is constructed in this paper.And a regularization matrix parameter adjustment calculation method is derived concerning with system error.Then,parameters and nonparametric estimator are obtained directly.Finally,compared with the least squares valuation(LS) under the MSE law,the validity of the semi-parameters estimation is proved. |
| Keywords: | compensation least squares principle matrix I decomposition MSE guidelines |
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