| 非线性模型参数估计的直接解法 |
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| 引用本文： | 王新洲.非线性模型参数估计的直接解法[J].武汉大学学报(信息科学版),1999,24(1):07. |
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| 作者姓名： | 王新洲 |
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| 作者单位： | 武汉测绘科技大学地学测量工程学院,武汉市珞喻路129号,430079 |
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| 基金项目： | 国家自然科学基金!49474204 |
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| 摘 要： | 提出了非线性模型参数估计的直接解法。该方法不仅不需迭代，而且由于顾及了二次项和三次项的影响，参数估值的精度优于传统的线性近似时参数估值的精度，且易应用传统的精度评定理论进行精度评定。
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| 关 键 词： | 非线性模型 参数估计 直接解算 |
| 修稿时间： | 1998-08-04 |
A Direct Solution Method of Parameter Estimation of Nonlinear Model |
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| Wang Xinzhou.A Direct Solution Method of Parameter Estimation of Nonlinear Model[J].Geomatics and Information Science of Wuhan University,1999,24(1):07. |
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| Authors: | Wang Xinzhou |
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| Abstract: | In geodesy many models are nonlinear ones. The classical methods dealing with these nonlinear models are either Iinear approximations using the approximation value of parameters or iterations. Some nonlmear models can not be linearized. Linearizing these nonlinear models will reduce the precision of estimators. If using iteration there is different convergence for differents methods or for different nonlinear modes. And it is very difficult to evaluate precision of estimators or functions of estimators. To solve the problems.a direct solution method has been presented in this paper. The influence of quadric term and cubic term has been taken into consideration. The method is an effeclive and rigorous one. The precision of estimators can be evaluated by classical method in the method. And estimators obtained by the method have fine statistic characters. |
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| Keywords: | nonlincar model parameter estimation direct solution method |
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