| 统一方差分量估计公式 |
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| 引用本文： | 李广云.统一方差分量估计公式[J].测绘学院学报,1993(3). |
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| 作者姓名： | 李广云 |
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| 摘 要： | 本文提出了一种适用于协方差阵奇异或非奇异、设计阵列满秩或降秩时的方差分量估计方法;其公式推导简单,形式统一,不需解线性方程组,同时可保证迭代计算方差分量的非负要求。作为特例还和Helmert法及MINQUE法作了比较。最后讨论了用真误差进行方差分量估计的计算公式,并给出了一个测距误差分析的实例。
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| 关 键 词： | 奇异协方差阵 方差分量估计 Helmert法 MINQUE法 |
Unified Variance Components Estimation |
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| Li Guangyun.Unified Variance Components Estimation[J].Journal of Institute of Surveying and Mapping,1993(3). |
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| Authors: | Li Guangyun |
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| Institution: | Li Guangyun |
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| Abstract: | A unified Variance components estimation in the Gauss-Markov model with a singular covariance matrix of observations and singular design matrix is discussed in this paper. The derivation of formula is simple, and need not to solve the linear equations. The non-negtive requirement of iteration is also satisfied. As a special case, the comparisons to Helmert and MINQUE estimation are studied. Finally, a example of EDM error analyses is given. |
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| Keywords: | Singular covariance matrix Variance components estimation Helmert MINQUE |
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