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| 引用本文： | 汪奇生,杨德宏,杨腾飞.???????????????????С???????[J].大地测量与地球动力学,2015,35(2):239-242. |
| 作者姓名： | 汪奇生 杨德宏 杨腾飞 |
| 作者单位： | 1〓湖南软件职业学院，湘潭市宝马西路，411100 2〓昆明理工大学国土资源工程学院, 昆明市文昌路68号, 650093 |
| 基金项目： | 湖南省教育厅科研项目(14C0616) |
| 摘 要： | ?????????????????????????????д??????????????????????????????С????????????????????е??任????????????С???????????????????????????????????????????????????????С??????????????????????????????????????????????????10 000?????飬??????????????????о?????????????????????????Ч????????? |
| 关 键 词： | ?????????С???? ?????? ?????? ???????????? ?????? |
| 收稿时间： | 2014-03-07 |
The Solution of Robust Total Least Squares for Linear Regression Models |
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| WANG Qisheng,YANG Dehong,YANG Tengfei.The Solution of Robust Total Least Squares for Linear Regression Models[J].Journal of Geodesy and Geodynamics,2015,35(2):239-242. | |
| Authors: | WANG Qisheng YANG Dehong YANG Tengfei |
| Institution: | 1〓Hunan Software Vocational Institute,West-Baoma Road,Xiangtan 411100,China 2〓Faculty of Land Resource Engineering, Kunming University of Science and Technology, 68 Wenchang Road，Kunming 650093，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. |
| Keywords: | robust total least squares linear regression iteration algorithm the nonlinear adjustment model selecting weight iteration |
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