| 基于条件方程的方差分量估计公式 |
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| 引用本文： | 梁霄.基于条件方程的方差分量估计公式[J].测绘工程,2010,19(6):28-30,47. |
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| 作者姓名： | 梁霄 |
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| 作者单位： | 同济大学测量与国土信息工程系,上海,200092 |
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| 摘 要： | 著名的Helmert方差分量估计公式是基于间接观测平差模型导出的。基于条件观测平差模型导出了方差分量估计公式并给出了实际应用范例,且对两种模型的方差分量估计公式的等价性进行了理论证明。算例表明,文中的估计公式能正确地估计出各类观测值的方差因子。
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| 关 键 词： | 方差分量估计 条件方程 Helmert公式 |
The variance component estimation formula based on conditional equation |
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| LIANG Xiao.The variance component estimation formula based on conditional equation[J].Engineering of Surveying and Mapping,2010,19(6):28-30,47. |
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| Authors: | LIANG Xiao |
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| Institution: | LIANG Xiao(Department of Surveying and Geo-informatics Engineering,Tongji University,Shanghai 200092,China) |
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| Abstract: | The famous Helmert formula of variance component estimation was derived based on indirect observational equation.This paper derives the variance component estimation formula based on conditional equation and shows the practical applications,proves the equivalence between the two variance component estimation formulas based on indirect observational and conditional equations.The numerical case shows that our formula can correctly estimate the variance components of different kind of observables. |
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| Keywords: | variance component estimation conditional equation Helmert formula |
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