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基于条件方程的方差分量估计公式 被引量:1

The variance component estimation formula based on conditional equation
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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。 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.
作者 梁霄
出处 《测绘工程》 CSCD 2010年第6期28-30,47,共4页 Engineering of Surveying and Mapping
关键词 方差分量估计 条件方程 Helmert公式 variance component estimation conditional equation Helmert formula
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参考文献7

  • 1RAO.C.R.Linear Statistical Inference and Its Applications[D].New York Wiley,1973.
  • 2KOCH.K.R.Parametersch (a) tung Und Hypotherentests in Linearen Modellen[D].Dümmler,1980.
  • 3於宗俦,于正林.测量平差原理[M].武汉:武汉测绘科技大学出版社,1990.
  • 4党涌诗.矩阵论及其在测绘中的应用[M].北京:测绘出版社,1980.
  • 5于正林,陈惠明.方差分量估计中的精度评定[J].测绘学报,1989,18(3):219-226. 被引量:5
  • 6李博峰,沈云中,楼立志.基于等效残差的方差-协方差分量估计[J].测绘学报,2010,39(4):349-354. 被引量:22
  • 7崔希璋,於宗俦,陶本藻,等.广义测量平差[M].武汉:武汉测绘科技大学出版社,2001.

二级参考文献31

  • 1HELMERT F R. Die Ausgleichungsrechnung Nach der Methode der Kleinsten Quadrate [M]. Leipzig: B G Teubner, 1907.
  • 2崔希璋,於宗俦,陶本藻,等.广义测量平差[M].2版.武汉:武汉大学出版社,2001:78-108.
  • 3GRAFAREND E. Variance-covariance Component Estimation of Helmert Type in the Gauss-Helmert Model[J]. Zeitschrift ftir Vermessungswesen, 1984, 1:109.
  • 4YU Zongchou. A Generalization Theory of Estimation of Variance-eovariance Components[J]. Manuscript Geodaetica, 1992, 17:295-301.
  • 5RAO C. Estimation of Variance and Covariance Components-MINQUE Theory[J]. Journal of Multivariate Analysis, 1971, 1:257-275.
  • 6KOCH K. Parameterschaetung und Hypothesentests in Linearen Modellen[M]. Bonn: Dummlers, 1980.
  • 7SJOBERG L. Unbiased Estimation of Variance-covariance Components in Condition Adjustment with Unknowns--a MINQUE Approach[J]. Zeitschrift fur Vermessungswesen, 1983, 9:382-387.
  • 8SJOBERG L. Non-negative Variance Components Estima tion in the Gauss-Helmert Adjustment Model[J]. Manuscript Geodaetica, 1984, 9:247-280.
  • 9CROCETTO N, GATTI M, RUSSO P. Simplified Formulae for the BIQUE Estimation of Variance Components in Disjunctive Observation Group[J]. Journal of Geodesy,2000, 74:447-457.
  • 10KUBIK K. The Estimation of the Weights of Measured Quantities within the Method of Least Squares[J]. Bulletin Geodesique, 1970, 95:21-40.

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