线性回归参数的总体最小二乘估计新算法 |
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引用本文: | 徐陶,刘国仕,俞友,吴泽强.线性回归参数的总体最小二乘估计新算法[J].测绘工程,2015(1):36-39. |
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作者姓名: | 徐陶 刘国仕 俞友 吴泽强 |
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作者单位: | 1. 湖南省地质矿产勘查开发局402队,湖南 长沙 410014; 湖南省勘测设计院,湖南 长沙 410014;2. 长安大学 地质工程与测绘学院,陕西 西安,710054 |
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摘 要: | 将一元线性回归总体最小二乘平差模型展开后,以因变量和自变量改正数的平方和最小为约束条件,推导其总体最小二乘的迭代算法,并将模型扩展到多元线性回归,进一步得到线性回归模型的总体最小二乘算法。通过实例分析,证明算法的可行性和合理性。
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关 键 词: | 总体最小二乘 线性回归模型 迭代算法 自变量 平差模型 |
The new algorithm of parameter estimation for linear regression on total least squares |
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Abstract: | With a linear regression of total least squares adjustment model launched ,a total least squares iterative algorithm is derived from the constraint condition that the sum of squares of correction of dependent variable and independent variables is minimum .The model is extended to the multivariate linear regression ,and further developed to the total least squares linear regression model algorithms .Through the example analysis ,the results show that the algorithm is feasible and reasonable . |
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Keywords: | total least squares linear regression model iteration algorithm independent variable adjustment model |
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