| 基于验后方差估计原理导出的选权迭代法剔除粗差 |
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| 引用本文： | 孙同贺.基于验后方差估计原理导出的选权迭代法剔除粗差[J].测绘与空间地理信息,2011,34(1):215-217. |
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| 作者姓名： | 孙同贺 |
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| 作者单位： | 内蒙古科技大学矿业工程学院,内蒙,包头,014010 |
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| 摘 要： | 将抗差估计的思想融入到粗差探测的算法中,设计出对模型误差,特别是粗差具有抵抗能力的粗差探测算法.基于验后方差估计原理导出的选权迭代法即为抗差佑计的一种,首先是应用最小二乘法来计算观测值的参数x、残差V、协因数阵Qvv及单位权σ0 的初值,然后再根据残差和有关的参数,按所选择的权函数,计算每个观测值的权,经过迭代计算求得...
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| 关 键 词： | 抗差估计 粗差的探测和剔除 验后方差 统计检验 |
Gross Error Elimination Based on the Weight Iteration of Posterior Variance Estimation |
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| SUN Tong-he.Gross Error Elimination Based on the Weight Iteration of Posterior Variance Estimation[J].Geomatics & Spatial Information Technology,2011,34(1):215-217. |
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| Authors: | SUN Tong-he |
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| Institution: | SUN Tong-he(Mining Engineering Institute,Inner Mongolia University of Science and Technology,Baotou 014010,China) |
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| Abstract: | This paper merged the idea of robust estimation into the algorithm of detecting gross errors,in order to design the model errors,especially with the algorithm of resist errors.Robust estimation contains the weight iteration of variance estimation to eliminate gross errors.First,the paper calculated the parameters of the observed values,residual errors,co-factor matrix and the initial value of unit weight.Then,it calculated the new weight value for each observation according to the weight function based on r... |
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| Keywords: | robust estimation detection and elimination of gross errors posterior variance statistical test |
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