| 线性EIV模型的t型估计 |
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| 引用本文： | 孙同贺,高磊. 线性EIV模型的t型估计[J]. 大地测量与地球动力学, 2016, 36(3): 261-264 |
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| 作者姓名： | 孙同贺 高磊 |
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| 摘 要： | 将数理统计中的t型估计作为一种抗差估计引入测量平差中，提出线性EIV模型的t型抗差估计及其EM算法。以平面拟合为例，当向观测向量和系数矩阵加入粗差时，选取合适的自由度v，t型估计具有较好的抗粗差能力，求出的参数均值与真值偏差较小。
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| 关 键 词： | EIV模型；t型估计；EM算法；总体最小二乘平差 |
t-type Estimation in the Linear Errors-in-Variables Model |
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| SUN Tonghe,GAO Lei. t-type Estimation in the Linear Errors-in-Variables Model[J]. Journal of Geodesy and Geodynamics, 2016, 36(3): 261-264 |
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| Authors: | SUN Tonghe GAO Lei |
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| Abstract: | This paper presents t-type robust estimation of the linear EIV model and EM algorithm. For plane fitting, different numbers of gross errors are added to both in the observation vector and the coefficient matrix. The robust effect of t-type estimation is better, and the deviation between parameters’ mean and true value is smaller by selecting the appropriate degrees of freedom. |
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| Keywords: | errors-in-variables model t-type estimation,EM algorithm,total least squares, |
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