| 扩展的Helmert型方差分量估计公式 |
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| 引用本文： | 刘长建,柴洪洲,吴洪举,马高峰.扩展的Helmert型方差分量估计公式[J].测绘学报,2008,37(1):1-4. |
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| 作者姓名： | 刘长建 柴洪洲 吴洪举 马高峰 |
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| 作者单位： | 信息工程大学测绘学院,河南郑州,450052;信息工程大学测绘学院,河南郑州,450052;信息工程大学测绘学院,河南郑州,450052;信息工程大学测绘学院,河南郑州,450052 |
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| 摘 要： | 针对实用中某类观测值可能含有多个方差分量的情况,对现有Helmen型方差分量估计公式进行扩展,指出现有公式就是本文所推公式的特例。新公式从另外一个角度推导,理论和计算还表明它们与MINQUE公式和BIQUE公式的等价性,从而为不同方法的互检提供手段。
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| 关 键 词： | Helmert型方差分量估计 MINQUE BIQUE |
| 文章编号： | 1001-1595（2008）01-0001-04 |
| 收稿时间： | 2006-08-02 |
| 修稿时间： | 2007-07-26 |
Extended Formulae of Helmert Type for Estimating Variance Components |
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| LIU Chang-jian,CHAI Hong-zhou,WU Hong-ju,MA Gao-feng.Extended Formulae of Helmert Type for Estimating Variance Components[J].Acta Geodaetica et Cartographica Sinica,2008,37(1):1-4. |
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| Authors: | LIU Chang-jian CHAI Hong-zhou WU Hong-ju MA Gao-feng |
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| Abstract: | Though in practice it is often occurred that one kind of observations may contain more than one variance component, the existing formulae of Helmert type for estimating variance components are limited to the case that each kind of observations only contains one variance component. By using general linear stochastic model, new formulae of Helmert type for estimating variance components are derived in this paper to break this limitation. It is showed that the existing formulae are only special cases of new formulae and they are identical with MINQUE and BIQUE. |
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| Keywords: | Helmert type for estimating variance components MINQUE BIQUE |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
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