摘要
讨论了半参数模型核光滑估计的两种方法 ,即偏核光滑估计与偏残差估计 ,通过构造核估计广义交叉核实函数自动选取窗口参数。最后将模拟计算与光滑样条进行了比较 ,表明该方法可以用于曲线拟合或模型系统误差估计。
Two methods of kernel smoothing in semiparametric regression model are studied that one is related to partial kernel smoothing and the other to partial residual.The window parameter is choiced by use of generalized cross-validation function for kernel estimate. Finally,the comparison between calculating kernel smoothing and spline smoothing demonstrates that this method can be used to estimate model error for regression function or systematic error in surveying.
出处
《大地测量与地球动力学》
CSCD
2004年第4期24-28,共5页
Journal of Geodesy and Geodynamics
基金
国家自然科学基金项目 (4 60 2 740 0 5 )
关键词
光滑
窗口
模型系统
自动选取
样条
估计
曲线拟合
半参数模型
残差
构造
semiparametric model,natural spline,kernel smoothing,generalized cross-validation,window parameter,model error estimation
