| 纵向污染数据回归模型中污染源密度的估计 |
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| 引用本文： | 钱伟民,李玉梅. 纵向污染数据回归模型中污染源密度的估计[J]. 同济大学学报(自然科学版), 2004, 32(4): 539-542 |
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| 作者姓名： | 钱伟民 李玉梅 |
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| 作者单位： | 同济大学,应用数学系,上海,200092 |
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| 基金项目： | 国家自然科学基金资助项目(10171079) |
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| 摘 要： | 研究了带有重复观测的线性回归模型中响应变量在受到另一随机变量序列污染时,污染源分布密度的估计问题.在较一般的条件下,对于纵向污染数据,构造了污染数据线性回归模型的参数和污染源密度的估计方法,并且证明构造的密度估计具有L2收敛性.由于在估计方法中无需假定误差方差,因此,所构造的估计方法更符合实际应用情况.
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| 关 键 词： | 污染数据 回归模型 污染系数 密度估计 L_2收敛性 |
| 文章编号： | 0253-374X(2004)04-0539-04 |
Estimations of Density Function of Contaminating Variable in Regression Models for Longitudinal Contaminated Data |
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| QIAN Wei-min,LI Yu-mei. Estimations of Density Function of Contaminating Variable in Regression Models for Longitudinal Contaminated Data[J]. Journal of Tongji University(Natural Science), 2004, 32(4): 539-542 |
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| Authors: | QIAN Wei-min LI Yu-mei |
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| Abstract: | In this paper the estimation of the density function of the contaminated data are established and studied.Under suitable conditions we established the estimation method of the parameter and the density function of contaminating variable in linear regression models for the longitudinal contaminated data.It is shown that the density estimator converges to the density function of contaminating variable in L_2 norm.Since there is no need to suppose the variance of error,the estimation method which we established is more efficient in application. |
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| Keywords: | contaminated data regression model coefficient of contamination density function convergence in L_2 norm |
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