| 约束条件污染数据线性回归模型的参数估计 |
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| 引用本文： | 任正民,张怀念. 约束条件污染数据线性回归模型的参数估计[J]. 北京石油化工学院学报, 2012, 20(1): 62-64 |
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| 作者姓名： | 任正民 张怀念 |
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| 作者单位： | 北京石油化工学院数理系,北京,102617;北京石油化工学院数理系,北京,102617 |
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| 摘 要： | 污染数据是某种程度上的不完全数据,即由于污染源的干扰,试验获得的观察数据是已经受到污染的数据。笔者结合统计学中估计理论、线性模型理论相关知识,讨论了约束条件下污染模型参数和污染系数的最小二乘估计。该结果进一步拓宽了污染模型的应用范围。
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| 关 键 词： | 污染系数 约束条件 参数估计 |
Parameter Estimations with Constraints in Linear Regression Model for Contaminated Data |
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| Ren Zhengmin , Zhang Huainian. Parameter Estimations with Constraints in Linear Regression Model for Contaminated Data[J]. Journal of Beijing Institute of Petro-Chemical Technology, 2012, 20(1): 62-64 |
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| Authors: | Ren Zhengmin Zhang Huainian |
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| Affiliation: | Ren Zhengmin Zhang Huainian(Department of Mathematics and Physics,Beijing Institute of Petro-chemical Technology,Beijing 102617) |
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| Abstract: | Contaminated data is the incomplete dada to some extent.It is called contaminated distribution model for the main distribution,which is unknown or partly unknown.The observation data from the experiment has been contaminated because of the disturbance of the contaminated source.In this paper,the approximation by least squares for contaminated model parameters and contamination coefficient with constrains is studied based on the estimation theory and linear models.As a result,the application range of the contaminated model is widened. |
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| Keywords: | contamination coefficient constraints parameter estimation |
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