半参数回归与平差模型

SEMIPARAMETRIC REGRESSION AND ADJUSTMENT MODELS

从数据处理几种回归模型出发 ,对参数、非参数、半参数回归模型进行了讨论 ,指出了它们的适用前提条件。论证了半参数回归模型的最小二乘核估计与附加系统参数平差、补偿最小二乘准则与最小二乘配置之间的联系与区别 ,阐述了半参数回归估计在测量平差中的应用前景.

In this paper, some regression models such as parametric regression,nonparametric regression and semiparametric regression models are debated and their preconditions in applications are pointed out.The relations and differences between least-square kernel estimation of semiparametric regression model and additional systematic parameter adjustment, and between penalized least squares and least square collocation are discussed .The prospect of semiparametric regression estimation in surveying adjustment is described.