非线性半参数模型最小二乘核估计的直接解法  

DIRECT ESTIMATION FORMULAE OF LEAST-SQUARE KERNEL ESTIMATOR OF NONLINEAR SEMIPARAMETRIC MODELS

作　　者：张松林[1] 张昆[2] 

机构地区：[1]同济大学测量与国土信息工程系,上海200092 [2]华东师范大学资源与环境科学学院地理信息科学教育部重点实验室,上海200062

出　　处：《大地测量与地球动力学》2006年第2期91-94,共4页Journal of Geodesy and Geodynamics

摘　　要：基于非线性半参数模型最小二乘核估计,给出了其参数分量和非参数分量估计的构造式,导出了参数分量和非参数分量顾及二次项直接解法的计算公式。用实测数据进行计算,证明了对于非线性半参数模型最小二乘核估计,可采用顾及二次项的直接解法。According to the kernel estimating theory of nonlinear semiparametric models under the least-square principle, the structural formulae of the estimation of parametric and nonparametric components and the direct formulas of kernel estimation considering the second order items were given. The results from GPS surveying data show that the direct estimation methods considering the second order items can be used in least square kernel estimating of nonlinear semiparametric models.

关 键 词：非线性模型 半参数模型 最小二乘 核估计 直接解法 

分 类 号：P207[天文地球—测绘科学与技术]