| 回归函数核估计的渐近正态性 |
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| 引用本文： | 高永红. 回归函数核估计的渐近正态性[J]. 武汉大学学报(工学版), 1994, 0(5) |
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| 作者姓名： | 高永红 |
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| 作者单位： | 武汉水利电力大学应用数学系 |
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| 摘 要： | 给出了回归函数向量及相应的核估计向量的定义．并证明了在一定条件下核估计向量具有渐近正态性，从而推广了［１］中的Ｓｃｈｕｓｔｅｒ定理。
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| 关 键 词： | 非参数估计；核函数；渐近正态分布 |
Asymptotic Normality of Nonparametric Regression |
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| Gao Yonghong. Asymptotic Normality of Nonparametric Regression[J]. Engineering Journal of Wuhan University, 1994, 0(5) |
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| Authors: | Gao Yonghong |
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| Affiliation: | Department of Applied Mathematies |
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| Abstract: | This article gives the definitions of both the regression function vector and its corresponding kernel estimate one. It is proved that the kernel estimate vector has the asymptotic normality under some conditions. Therefore,the author coms to a wider conclusion than that of Schuster theorem[1]. |
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| Keywords: | non-parametric estimate kernel functions asymptotic normal distribution |
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