| 半参数回归与平差模型 |
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| 引用本文： | 丁士俊,陶本藻. 半参数回归与平差模型[J]. 大地测量与地球动力学, 2003, 23(4): 111-114 |
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| 作者姓名： | 丁士俊 陶本藻 |
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| 作者单位： | 武汉大学测绘学院,武汉,430079 |
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| 基金项目： | 国家自然科学基金项目 ( 4 60 2 740 0 5 ) |
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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。
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| 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 |
| 文章编号： | 1671-5942(2003)04-0111-04 |
| 修稿时间： | 2003-03-25 |
SEMIPARAMETRIC REGRESSION AND ADJUSTMENT MODELS |
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| Ding Shijun and Tao Benzao. SEMIPARAMETRIC REGRESSION AND ADJUSTMENT MODELS[J]. Journal of Geodesy and Geodynamics, 2003, 23(4): 111-114 |
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| Authors: | Ding Shijun and Tao Benzao |
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| Abstract: | 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. |
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| Keywords: | parametric model nonparametric regression semiparametric regression least-square collocation |
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