Weight Least Squares Algorithm for Rational Models with Outliers
A weight least squares algorithm is developed for rational models with outliers in this paper. Different weights are assigned for each cost function, and by calculating the derivatives of these cost functions, the parameter estimates can be estimated. Compared with the traditional least squares algo...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8963691 |
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| _version_ | 1850218773651390464 |
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| author | Lixin Lv Donglei Lu |
| author_facet | Lixin Lv Donglei Lu |
| author_sort | Lixin Lv |
| collection | DOAJ |
| description | A weight least squares algorithm is developed for rational models with outliers in this paper. Different weights are assigned for each cost function, and by calculating the derivatives of these cost functions, the parameter estimates can be estimated. Compared with the traditional least squares algorithm, the proposed algorithm can remove the bad effect caused by the outliers, thus has more accurate parameter estimates. A simulation example is proposed to validate the effectiveness of the proposed algorithm. |
| format | Article |
| id | doaj-art-7a50a66814fe493d98fe9d8e1d337694 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-7a50a66814fe493d98fe9d8e1d3376942025-08-20T02:07:36ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/89636918963691Weight Least Squares Algorithm for Rational Models with OutliersLixin Lv0Donglei Lu1Wuxi Vocational College of Science and Technology, Wuxi 214028, ChinaWuxi Vocational College of Science and Technology, Wuxi 214028, ChinaA weight least squares algorithm is developed for rational models with outliers in this paper. Different weights are assigned for each cost function, and by calculating the derivatives of these cost functions, the parameter estimates can be estimated. Compared with the traditional least squares algorithm, the proposed algorithm can remove the bad effect caused by the outliers, thus has more accurate parameter estimates. A simulation example is proposed to validate the effectiveness of the proposed algorithm.http://dx.doi.org/10.1155/2020/8963691 |
| spellingShingle | Lixin Lv Donglei Lu Weight Least Squares Algorithm for Rational Models with Outliers Complexity |
| title | Weight Least Squares Algorithm for Rational Models with Outliers |
| title_full | Weight Least Squares Algorithm for Rational Models with Outliers |
| title_fullStr | Weight Least Squares Algorithm for Rational Models with Outliers |
| title_full_unstemmed | Weight Least Squares Algorithm for Rational Models with Outliers |
| title_short | Weight Least Squares Algorithm for Rational Models with Outliers |
| title_sort | weight least squares algorithm for rational models with outliers |
| url | http://dx.doi.org/10.1155/2020/8963691 |
| work_keys_str_mv | AT lixinlv weightleastsquaresalgorithmforrationalmodelswithoutliers AT dongleilu weightleastsquaresalgorithmforrationalmodelswithoutliers |