| 回归函数的非参数分块Delta序列估计 |
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| 引用本文： | 林路. 回归函数的非参数分块Delta序列估计[J]. 邵阳学院学报(社会科学版), 2001, 23(2): 1-7 |
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| 作者姓名： | 林路 |
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| 作者单位： | 南开大学数学科学学院,天津,300071 |
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| 基金项目： | ThispaperissupportedbyNNSFproject 197710 49ofChina |
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| 摘 要： | 在非参数回归模型中,本文提出一种回归函数的分块Delta序列估计方法,定义了回归函数的分块Delta序列估计,得到这种估计的渐近无偏性,均方收敛性和强性敛性.
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| 关 键 词： | 分块方法 非参数回归 小波光滑 |
NonparametricEstimation of Regression Function by Block Delta Sequences |
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| Lin Lu. NonparametricEstimation of Regression Function by Block Delta Sequences[J]. Journal of Shaoyang University:Social Science, 2001, 23(2): 1-7 |
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| Authors: | Lin Lu |
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| Abstract: | This paper introduces a method of block delta sequences in the nonparametric regression model with dependent processes.The block delta sequence estimator of regression function in the model with dependent data is defined,and the asymptotic unbiasedness,mean square convergence and strong consistency of this estimator are proved. |
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| Keywords: | blockwise nonparametric regression wavelet smoothing |
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