Weighted Semiparameter Model and Its Application
A weighted semiparameter estimate model is proposed. The parameter components and nonparameter components are weighted. The weights are determined by the characters of different data. Simulation data and real GPS data are both processed by the new model and least square estimate, ridge estimate, and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/892107 |
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| _version_ | 1832568019593723904 |
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| author | Zhengqing Fu Guolin Liu Ke Zhao Hua Guo |
| author_facet | Zhengqing Fu Guolin Liu Ke Zhao Hua Guo |
| author_sort | Zhengqing Fu |
| collection | DOAJ |
| description | A weighted semiparameter estimate model is proposed. The parameter components and nonparameter components are weighted. The weights are determined by the characters of different data. Simulation data and real GPS data are both processed by the new model and least square estimate, ridge estimate, and semiparameter estimate. The main research method is to combine qualitative analysis and quantitative analysis. The deviation between estimated values and the true value and the estimated residuals fluctuation of different methods are used for qualitative analysis. The mean square error is used for quantitative analysis. The results of experiment show that the model has the smallest residual error and the minimum mean square error. The weighted semiparameter estimate model has effectiveness and high precision. |
| format | Article |
| id | doaj-art-a4a22978c58940a88a0467ac9de58c85 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a4a22978c58940a88a0467ac9de58c852025-02-03T00:59:53ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/892107892107Weighted Semiparameter Model and Its ApplicationZhengqing Fu0Guolin Liu1Ke Zhao2Hua Guo3College of Mathematics and System Sciences, SDUST, Qingdao, Shandong 266590, ChinaGeomatics College, SDUST, Qingdao, Shandong 266590, ChinaGeomatics College, SDUST, Qingdao, Shandong 266590, ChinaCollege of Mathematics and System Sciences, SDUST, Qingdao, Shandong 266590, ChinaA weighted semiparameter estimate model is proposed. The parameter components and nonparameter components are weighted. The weights are determined by the characters of different data. Simulation data and real GPS data are both processed by the new model and least square estimate, ridge estimate, and semiparameter estimate. The main research method is to combine qualitative analysis and quantitative analysis. The deviation between estimated values and the true value and the estimated residuals fluctuation of different methods are used for qualitative analysis. The mean square error is used for quantitative analysis. The results of experiment show that the model has the smallest residual error and the minimum mean square error. The weighted semiparameter estimate model has effectiveness and high precision.http://dx.doi.org/10.1155/2014/892107 |
| spellingShingle | Zhengqing Fu Guolin Liu Ke Zhao Hua Guo Weighted Semiparameter Model and Its Application Journal of Applied Mathematics |
| title | Weighted Semiparameter Model and Its Application |
| title_full | Weighted Semiparameter Model and Its Application |
| title_fullStr | Weighted Semiparameter Model and Its Application |
| title_full_unstemmed | Weighted Semiparameter Model and Its Application |
| title_short | Weighted Semiparameter Model and Its Application |
| title_sort | weighted semiparameter model and its application |
| url | http://dx.doi.org/10.1155/2014/892107 |
| work_keys_str_mv | AT zhengqingfu weightedsemiparametermodelanditsapplication AT guolinliu weightedsemiparametermodelanditsapplication AT kezhao weightedsemiparametermodelanditsapplication AT huaguo weightedsemiparametermodelanditsapplication |