| 加权整体最小二乘求解线性模型参数及精度估计 |
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| 引用本文： | 张鹏杰,邱卫宁,程进伟,柯善亮.加权整体最小二乘求解线性模型参数及精度估计[J].测绘信息与工程,2012,37(1):4-5,17. |
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| 作者姓名： | 张鹏杰 邱卫宁 程进伟 柯善亮 |
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| 作者单位： | 武汉大学测绘学院／武汉大学灾害监测与防治研究中心,武汉市珞喻路129号,430079 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 针对线性模型中最小二乘和整体最小二乘方法存在的问题,引进了加权整体最小二乘的方法,并给出了精度估算公式。通过线性模型的实例计算验证,加权整体最小二乘可以得到更加合理的拟合模型,获得更高精度的参数解,具有更小的中误差。
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| 关 键 词： | 加权整体最小二乘 线性模型参数 精度估计 |
Weighted Total Least Squares to Solve Linear Model Parameters and Accuracy Estimation |
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| ZHANG Pengjie,QIU Weining,CHENG Jinwei,KE Shanliang.Weighted Total Least Squares to Solve Linear Model Parameters and Accuracy Estimation[J].Journal of Geomatics,2012,37(1):4-5,17. |
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| Authors: | ZHANG Pengjie QIU Weining CHENG Jinwei KE Shanliang |
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| Institution: | 1 School of Geodesy and Geomatics,Wuhan University; 2 Hazard Monitoring and Prevention Reserch Center,Wuhan University,129 Luoyu Road,Wuhan 430079,China) |
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| Abstract: | The weighted total least squares method is introduced to solve the problem that least-squares and the total least-squares method exist in the linear model,and the estimation formula of accuracy is given.The results of a linear model indicate that the weighted total least-squares can get more reasonable model and the parameters for more accurate solution,with a smaller in error. |
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| Keywords: | weighted total least-squares parameters of the linear model estimates of accuracy |
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