| 一类纵向数据半参数模型估计的收敛速度 |
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| 引用本文： | 崔文艳.一类纵向数据半参数模型估计的收敛速度[J].数学杂志,2011,31(6):1136-1140. |
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| 作者姓名： | 崔文艳 |
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| 作者单位： | 滨州学院数学与信息科学系,山东滨州256603山东大学数学与系统科学学院,山东济南250100 |
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| 摘 要： | 本文研究了一类纵向数据半参数模型参数和回归函数的估计问题.利用最小二乘法和一般的非参数权函数方法,获得了参数估计量的强收敛速度和回归函数估计量的一致收敛速度,推广了文献4]的相应结果.
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| 关 键 词： | 纵向数据 半参数模型 最小二乘估计 非参数权函数估计 收敛速度 |
THE CONVERGENCE RATE OF ESTIMATORS IN SEMIPARAMETRIC REGRESSION MODEL FOR LONGITUDINAL DATA |
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| CUI Wen-yan.THE CONVERGENCE RATE OF ESTIMATORS IN SEMIPARAMETRIC REGRESSION MODEL FOR LONGITUDINAL DATA[J].Journal of Mathematics,2011,31(6):1136-1140. |
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| Authors: | CUI Wen-yan |
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| Institution: | CUI Wen-yan (Department of Mathematical and Information Science,Binzhou University,Binzhou 256603,China) (School of Mathematical and System Science,Shandong University,Jinan 250100,China) |
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| Abstract: | The main purpose of this article is to study a type of semiparametric regression model for longitudinal data.By the method of the least squares and usual nonparametric weight function method,the estimators of parameter and regression function are obtained The strong convergence rate of the estimator of parameter and the uniform strong convergence rate of the estimator of regression function are given,which extend the corresponding results of Gao Jiti4]. |
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| Keywords: | longitudinal data semiparametric regression least squares estimator nonparametric weight function estimator convergence rate |
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