| 固定设计下一类半参数回归模型估计的强相合性 |
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| 引用本文： | 田萍,薛留根. 固定设计下一类半参数回归模型估计的强相合性[J]. 数学季刊, 2006, 21(2): 202-209 |
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| 作者姓名： | 田萍 薛留根 |
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| 作者单位： | College of Applied Sciences，Beijing University of Technology，Beijing 100022，China;Department of Mathematics，Xuchang University，Xuchang 461000，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10571008)，Supported by the Natural Science Foundation of Henan(0511013300)，Supported by the National Science Foundation of Henan Education Department(2006110012) |
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| 摘 要： | ![]()
In this paper, we consider the following semiparametric regression model under fixed design: yi=xi1β g(xi) ei. The estimators ofβ, g(·) andσ2 are obtained by using the least squares and usual nonparametric weight function method and their strong consistency is proved under the suitable conditions.
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| 关 键 词： | 半参变量衰退模型 最小正方估值 重量函数 强连贯性 |
Strong Consistency of Estimators of a Semiparametric Regression Model under Fixed Design |
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| TIAN Ping,XUE Liu-gen. Strong Consistency of Estimators of a Semiparametric Regression Model under Fixed Design[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(2): 202-209 |
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| Authors: | TIAN Ping XUE Liu-gen |
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| Affiliation: | [1]College of Applied Sciences, Beijing University of Technology, Beijing 100022, China [2]Departmentof Mathematics, Xuchang University, Xuchang 461000, China |
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| Abstract: | ![]()
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| Keywords: | semiparametric regression model least square estimation weight function strong consistency |
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