| 回归模型误差补偿半参数法中正则矩阵任意时的参数估计 |
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| 引用本文： | 张志伟,胡伍生,黄晓明.回归模型误差补偿半参数法中正则矩阵任意时的参数估计[J].测绘科学,2011,36(1):164-166. |
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| 作者姓名： | 张志伟 胡伍生 黄晓明 |
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| 作者单位： | 东南大学交通学院; |
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| 基金项目： | 国家863计划项目“空间数据挖掘的神经网络技术研究”(2007AA12Z228) |
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| 摘 要： | 用试验观测数据建立的回归拟合模型不可避免地存在模型误差,将模型误差视为非参数分量列入回归模型的半参数模型是一种重要的回归模型.本文利用补偿最小二乘原理,导出了顾及预测点的半参数回归模型参数及模型误差的估计量,并对估计量进行精度评定,给出了估计量及精度评定的相应公式.在理论分析的基础上,得出了只要正则矩阵R的选取使法方程...
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| 关 键 词： | 回归模型 模型误差补偿 半参数 正则矩阵 参数估计 |
Parameter estimation on random regular matrix in regression model error compensation semi parametric method |
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| ZHANG Zhi-wei,HU Wu-sheng,HUANG Xiao-ming.Parameter estimation on random regular matrix in regression model error compensation semi parametric method[J].Science of Surveying and Mapping,2011,36(1):164-166. |
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| Authors: | ZHANG Zhi-wei HU Wu-sheng HUANG Xiao-ming |
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| Institution: | ZHANG Zhi-wei,HU Wu-sheng,HUANG Xiao-ming(Traffic Institute of Southeast University,Nanjing 210096,China) |
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| Abstract: | The regression fitting model established with the experiment observation data inevitably has the model error.The model error as a non-parametric component included the semi parametric model of regression model is a significant regression model.The use of penalized least squares principle was taken into consideration of the predicted point to derive the semi parametric regression model parameter and the model error's estimator in the paper,and the precision evaluation was carried out to the estimator to give... |
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| Keywords: | regression model model error compensation semi parameter regular matrix parameter estimation |
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