| 关于回归函数核估计的联合渐近正态性 |
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| 引用本文： | 张团峰.关于回归函数核估计的联合渐近正态性[J].西安石油大学学报(自然科学版),1993(4). |
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| 作者姓名： | 张团峰 |
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| 作者单位： | 西安石油学院基础课部 |
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| 摘 要： | 用核估计误差分解方法,在较弱条件下,就一般情况给出了简捷的证明,同时文后讨论了所得结果与Schuster(2])强条件结果之间的联系.
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| 关 键 词： | 回归分析 核函数 渐近正态分布 |
On the Joint Asymptotic Normal Distribution for Kernel Estimation of Nonparametric Regression Function |
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| Zhang Tuanfeng.On the Joint Asymptotic Normal Distribution for Kernel Estimation of Nonparametric Regression Function[J].Journal of Xian Shiyou University,1993(4). |
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| Authors: | Zhang Tuanfeng |
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| Affiliation: | Dept. of Basic Courses |
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| Abstract: | Joint asymptotic distribution of the estimated regression function was obtained by Shutter, E. F in 1972. The result was proved with clever V transformation method and under the condition of stronger limitations. In this paper error analysis method for Kernel estimation of regression function is adopted and the same result has been obtained under weaker condition in ordinary circumstances. In the end, the correlation between the imposed conditions and the results is discussed. |
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| Keywords: | regression analysis Kernel function asymptotic normal distribution |
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