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非线性最小二乘平差参数精度的评定
引用本文:李桂苓,李瑞华,陶华学.非线性最小二乘平差参数精度的评定[J].中国石油大学学报(自然科学版),2001,25(1).
作者姓名:李桂苓  李瑞华  陶华学
作者单位:1. 石油大学石油资源科学系,
2. 山东科技大学,
基金项目:国家自然科学基金资助项目!(498740 0 1)
摘    要:对于非线性最小二乘平差参数的方差协方差传播的研究 ,必须与非线性最小二乘平差的研究同步。为了适应现代变形监测中观测值种类变化的多样性 ,将观测值类型加以扩展 ,提出了不同类型观测值的非线性最小二乘平差参数的方差协方差传播理论和计算公式 ,利用算例证明了它的可行性

关 键 词:观测值  非线性最小二乘平差  平差参数  方差-协方差传播

ACCURACY OF PARAMETERS ADJUSTED BY VARIANCE COVARIANCE PROPAGATION OF NONLINEAR LEAST SQUARES FOR DIFFERENT TYPES OF OBSERVED VALUES
LI Gui-ling,LI Rui-hua,TAO Hua-xue.ACCURACY OF PARAMETERS ADJUSTED BY VARIANCE COVARIANCE PROPAGATION OF NONLINEAR LEAST SQUARES FOR DIFFERENT TYPES OF OBSERVED VALUES[J].Journal of China University of Petroleum,2001,25(1).
Authors:LI Gui-ling  LI Rui-hua  TAO Hua-xue
Institution:LI Gui ling,LI Rui hua and TAO Hua\|xue/ About the first author: LI Gui ling,female,lecturer,obtained MS degree from Shandong University of Science and Technology in 2000. Now she is working on survey data manipulation at the Department of Petroleu
Abstract:The research of variance covariance propagation of nonlinear least squares adjusted parameters must keep in step with the development of nonlinear least squares adjustment in this area. The existing results are inclined to the variance covariance propagation of observed values, and precision of the nonlinear least squares adjusted parameter is seldom concerned. This paper gives the theory and calculating formula for variance covariance propagation of nonlinear least squares adjusted parameters for different types of observed data. The results of example prove that this method is effective and reliable.
Keywords:observed value  nonlinear least squares adjustment  adujsted parameter  variance  covariance propagation
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