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-  2016 

EIV模型参数估计的新方法
A New Method of Parameter Estimation for the EIV Model

DOI: 10.13203/j.whugis20140182

Keywords: EIV模型,总体最小二乘,参数估计,迭代算法,非线性平差模型,
errors-in-variables
,total least squares,parameter estimation,iteration algorithm,the nonlinear adjustment model

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Abstract:

提出了一种EIV(errors-in-variables)模型参数估计的新方法,即根据非线性最小二乘平差理论,并用构造结构矩阵的方法来顾及系数矩阵的重复元素和常数项,推导了其迭代算法和精度评定公式。新方法统一了总体最小二乘、加权总体最小二乘以及结构总体最小二乘三种算法,并给出了详细的解算步骤。新方法的推导过程及其迭代格式较为简单,易于程序实现。最后通过两个实例验证了本文方法的有效性和可行性

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