| 方差—协方差分量估计的统一理论 |
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| 引用本文： | 于宗俦.方差—协方差分量估计的统一理论[J].测绘学报,1991,20(3):161-171. |
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| 作者姓名： | 于宗俦 |
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| 作者单位： | 武汉测绘科技大学 |
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| 摘 要： |
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| 关 键 词： | 方差 协方差 分量 估计 函数模型 |
THE UNIFORMITY THEORY OF ESTIMATION OFVARIANCE-COVARIANCE COMPONENTS |
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| Yu Zongchou.THE UNIFORMITY THEORY OF ESTIMATION OFVARIANCE-COVARIANCE COMPONENTS[J].Acta Geodaetica et Cartographica Sinica,1991,20(3):161-171. |
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| Authors: | Yu Zongchou |
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| Institution: | Wuhan Technical University oj Surveying and Mapping |
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| Abstract: | The General Formulas of estimation of variance and covariance components of
Helmert type which are adequate for all adjustment methods. have been derived and the
corresponding simplified formula has also been given1]. Based on the best quadratic
unbiased estimation theory(BQUE). a new form of general formula for estimating
variance-covariance components has been derived in this paper. It is shown that
MINQUE of variance components(C. R. Rao. 1973) and the best quadratic unbiased
estimates (Lars E. Sjoberg. 1983) only are as special cases of the general formula.
Final1y. it is proved that in the case of block structured covariance matrix. the esti-
mation of variance-covariance components of Helmert type is equivalent to BQUE. |
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| Keywords: | MINQUE BQUE General formuls |
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