| 非参数回归函数之改良基于分割的估计的强相合性（英） |
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| 引用本文： | 赵林城,刁国庆.非参数回归函数之改良基于分割的估计的强相合性（英）[J].应用概率统计,2002,18(2):192-196. |
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| 作者姓名： | 赵林城 刁国庆 |
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| 作者单位： | 中国科学技术大学统计与金融系,合肥,230026 |
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| 基金项目： | Research partially supported by National Natural Science Foundation of China(19631040),Ph. D．Program Foundation of Ministry of Education of China and Special Foundation of Academia Sinica． |
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| 摘 要： | 设(X,Y),(X1,Y1),…,(XnYn)为取值于 Rd× R的 i．i．d．随机变量,E(|Y|) ＜∞．设mn(x)为回归函数m(x)=E(|Y|X=x)基于分割的估计,本文在对mn(x)进行改良的条件下得到改良的基于分割的强相合估计．
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| 关 键 词： | 非参数回归估计 强相合性 分割 估计 |
Strong Convergence of Modified Partitioning Estimates of Nonparametric Regression Functions |
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| LINCHENG ZHAO GUOQINC DIAO.Strong Convergence of Modified Partitioning Estimates of Nonparametric Regression Functions[J].Chinese Journal of Applied Probability and Statisties,2002,18(2):192-196. |
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| Authors: | LINCHENG ZHAO GUOQINC DIAO |
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| Abstract: | Let (X, Y), (X1, Y1),… , (Xn, Yn) be i.i.d, random vectors taking values in Rd × R with E(|Y|) ＜∞. Letrn(x) be the partitioning estimate of the regression function m(x) = E(Y|X = x). In this paper, the strongconvergence of modified partitioning estimate mn(x) is shown.`` |
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| Keywords: | nonparametric regression estimation strong convergence partitioning estimate |
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