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半参数回归与平差模型 预览 被引量:27

SEMIPARAMETRIC REGRESSION AND ADJUSTMENT MODELS
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摘要 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.
作者 丁士俊 陶本藻 Ding Shijun and Tao Benzao (School of Geodesy and Geomatics of Wuhan University,Wuhan 430079)
出处 《大地测量与地球动力学》 CSCD 2003年第4期 111-114,共4页 Journal of Geodesy and Geodynamics
基金 国家自然科学基金
关键词 半参数回归 回归模型 参数模型 非参数模型 最小二乘配置 parametric model, nonparametric regression, semiparametric regression, least-square collocation
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