半参数p-范极大似然回归  

Semiparametric p-norm Maximum Likelihood Regression

作　　者：潘雄[1] 孙海燕[1] 

机构地区：[1]武汉大学测绘学院

出　　处：《测绘学报》2005年第1期30-34,共5页Acta Geodaetica et Cartographica Sinica

基　　金：国家自然科学基金资助项目(40274005);湖北省重点科研计划项目(2003X129);湖北省自然科学基金资助项目(2004ABA032)

摘　　要：应用核权函数,在观测为误差单峰、对称的情况下,得到了一元p 范分布的半参数模型的计算公式。详细推导了p已知时一元p 范分布极大似然方程的解算公式,将半参数回归模型应用到极大似然平差的参数估计理论中,得到了一个比较好的算法。最后,构造了两个模拟平差问题,说明了此方法的优越性。In this paper,used the kernel weight function, we obtain the parameter estimation of p-norm distribution in semiparametric regression model ,which is effective to decide the distribution of random errors. Under the assumption that the distribution of observations is unimodal and symmetrical, this method can give the estimates of X,S and σ. Finally, two simulated adjustment problems are constructed to explain this method. The new method presented in this paper shows an effective way of solving the problem, the estimated values are nearer to their theoretical ones than those by least squares adjustment.

关 键 词：半参数回归模型 单峰 权函数 P-范分布 已知 对称 推导 平差 半参数模型 解算 

分 类 号：P207[天文地球—测绘科学与技术] O212[理学—概率论与数理统计]