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| 引用本文： | 张俊,独知行,杜宁,张显云.������ģ�͵IJ�����С���˹���[J].大地测量与地球动力学,2015,35(1):122-125. |
| 作者姓名： | 张俊 独知行 杜宁 张显云 |
| 作者单位： | 1 山东科技大学测绘科学与工程学院， 青岛市前湾港路579号, 266510 2 贵州大学矿业学院， 贵阳市花溪区, 550025 |
| 基金项目： | 国家自然科学基金（41274006）；国家教育部博士点基金（20103718110003）；贵州省科技厅工业攻关项目（黔科合GY字（2011）3054号）；贵州大学教育教学改革研究项目（JG2013045，JG2013074） |
| 摘 要： | ??????e????????????????????????????????e????????е??????????????????????????????????ж????????????????????????С????????????????????????????????????????????????????????????????????y???Ч???? |
| 关 键 词： | ????????? ????????? ????????? ??????С??????? ??? |
| 收稿时间： | 2014-02-12 |
Penalized Least Square Estimator for Non-Linear Models |
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| ZHANG Jun,DU Zhixing,DU Ning,ZHANG Xianyun.Penalized Least Square Estimator for Non-Linear Models[J].Journal of Geodesy and Geodynamics,2015,35(1):122-125. | |
| Authors: | ZHANG Jun DU Zhixing DU Ning ZHANG Xianyun |
| Institution: | 1 Geomatics College，Shandong University of Science and Technology，579 Qianwangang Road, Qingdao 266510， China 2 Mining College, Guizhou University，Huaxi District, Guiyang 550025, China |
| Abstract: | In the geodesy，many models are nonlinear.The classical methods dealing with nonlinear models are either linear approximations using the approximation value of parameters or iterations.Some nonlinear models can not be linearized and are very difficult to evaluate precision of estimators by the methods.To solve the problems，the penalized least square estimator for non linear models were presented and related estimation formulas supported.That is the key lying in that substituting the non parameters of semi parametric models for the Taylor expansion reminders.The results calculated with the method show that the method is effective for the non linear models. |
| Keywords: | nonlinear model nonlinearity semi-parametric model penalized least square estimator adjustment |
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