The Solution of Robust Total Least Squares for Linear Regression Models
1〓Hunan Software Vocational Institute,West-Baoma Road,Xiangtan 411100,China
Abstract Aiming at the situation that there are gross errors in the independent variable and dependent variable of the linear regression model，we propose the robust total least squares method.On the basis of the nonlinear adjustment model, we have deduced robust total least squares estimation calculation formula with selecting weight iteration through the equivalence transformation of the linear regression model. Finally, we apply the method to an example, and verify the feasibilities of the method.
Key words ：
robust total least squares
linear regression
iteration algorithm
the nonlinear adjustment model
selecting weight iteration
Received: 07 March 2014
Published: 15 April 2015
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