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非线性动态最小二乘平差参数的方差—协方差传播及其计算

VARIANCE-COVARIANCE PROPAGATION AND CALCULATION OF THE NONLINEAR LEAST SQUARE ADJUSTMENT PARAMETERS

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【作者】 陶华学王同孝王尤选

【Author】 Tao Huaxue; Wang Tongxiao et al.(Shandong Institute of Mining & Technology )

【机构】 山东矿业学院!山东·泰安271019烟台大学!山东·烟台264000

【摘要】 近年来,国内外开始研究的非线性最小二乘平差及其平差参数的方差—协方差传播,都只顾及到台劳级数展开的二阶项,而非线性动态最小二乘平差及其平差参数的方差—协方差传播,至今在国内外尚末见到这方面研究,是一个尚待研究的课题。为此,本研究和提出了顾及三阶项的非线性动态平差参数的方差—协方差传播理论与应用公式,不仅填补了国内外这一研究的空白,而且将明显提高非线性平差参数估计的科学性、精确性。

【Abstract】 In recent years, the study of the nonlinear least square adjustment and the variance - covariance propagation of the variance parameters began at home and abroad considering only the second order term of the expansion of Taylor’s series. So far the study of nonlinear dynamic propagation of this method has not been seen at home and abroad. This is still a subject to be studied. For this, this paper studies and present the theory and the applied formulae considering the third order term of the variance-covariance propagation for nonlinear dynamic adjustment parameter. It not only fills in the gaps of this study at home and abroad, but also evidently enhance the scientism and precision of the parameter estimation for nonlinear adjustment.

  • 【文献出处】 勘察科学技术 ,SITE INVESTIGATION SCIENCE AND TECHNOLOGY , 编辑部邮箱 ,1998年01期
  • 【分类号】P207
  • 【被引频次】13
  • 【下载频次】139
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