非线性模型的补偿最小二乘估计

提出利用半参数估计理论解决非线性平差问题，即利用半参数模型中的非参数分量描述非线性模型按泰勒级数展开式中二次以上的高阶项，并推导了补偿最小二乘法求解非线性模型参数的相关公式。算例表明，对于非线性强度较强的模型，该算法可以取得较好的效果。

Penalized Least Square Estimator for Non-Linear Models

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.