线性EIV模型的TLS估计及其典型应用
Zhongguo Youse Jinshu Xuebao/Chinese Journal of Nonferrous Metals（2012）
Abstract
推导了将线性GM模型转换为变量含误差(EIV)模型并采用总体最小二乘(TLS)平差的方法,介绍了加权总体最小二乘、混合总体最小二乘和附限制条件的总体最小二乘问题及其解算方法.以经典大地测量控制网平差和数据拟合算例比较各种TLS估计的精度和计算效益.理论分析和算例表明:对于EIV模型,WTLS为最优估计,实际应用时需根据具体函数模型和随机假设选择合理的TLS平差方法.
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Key words
Gauss-Markov (GM) model,Least squares adjustment,Linear error in variables (EIV) model,Total least squares
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