| $\alpha$混合下非参数回归函数改良分割估计的强相合性及收敛速度 |
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| 引用本文： | 姚梅,杜雪樵.$\alpha$混合下非参数回归函数改良分割估计的强相合性及收敛速度[J].数学研究与评论,2008,28(3):637-644. |
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| 作者姓名： | 姚梅 杜雪樵 |
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| 作者单位： | 合肥工业大学理学院, 安徽 合肥 230009;合肥工业大学理学院, 安徽 合肥 230009 |
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| 摘 要： | 本文研究了在样本$(X_1,Y_1),(X_2,Y_2),\ldots,(X_n,Y_n)$ 为取值于$R^{d}\times R^{1}$的同分布的$\alpha$混合序列时,回归函数改良分割估计的强相合性和收敛速度.
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| 关 键 词： | 改良分割估计 强相合性 收敛速度 $\alpha$混合. |
| 收稿时间： | 7/6/2006 12:00:00 AM |
| 修稿时间： | 2007/5/26 0:00:00 |
Strong Consistency and Convergence Rate of Modified Partitioning Estimate of Nonparametric Regression Function under $\alpha$-Mixing Sample |
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| YAO Mei and DU Xue Qiao.Strong Consistency and Convergence Rate of Modified Partitioning Estimate of Nonparametric Regression Function under $\alpha$-Mixing Sample[J].Journal of Mathematical Research and Exposition,2008,28(3):637-644. |
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| Authors: | YAO Mei and DU Xue Qiao |
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| Institution: | Department of Mathematics, Hefei University of Technology, Anhui 230009, China;Department of Mathematics, Hefei University of Technology, Anhui 230009, China |
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| Abstract: | In this paper, we study the strong consistency and convergence rate of modified partitioning estimate of nonparametric regression function under the sample $\{(X_i,Y_i), i\geq1\}$ that is $\alpha$ sequence taking values in $R^d\times R^1$ with identical distribution. |
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| Keywords: | nonparametric regression function modified partitioning estimate strong consistency convergence rate $\alpha$-mixing |
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