| NQD样本下非参数回归函数最近邻密度估计的强相合性 |
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| 引用本文： | 张艳丽,于洪文. NQD样本下非参数回归函数最近邻密度估计的强相合性[J]. 山东科学, 2007, 20(4): 29-32 |
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| 作者姓名： | 张艳丽 于洪文 |
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| 作者单位： | 山东经济学院概率统计与保险精算研究所,山东,济南,250014;山东省科学院能源所,山东,济南,250014 |
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| 摘 要： | 本文在样本为平稳的两两NQD的情况下得到了非参数回归函数m(x)的最近邻估计mn(x)的强相合性.在条件不变的情况下获得了与独立情形一样的mn(x)是强相合的充分条件.
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| 关 键 词： | NQD列 最近邻估计 强相合性 |
| 文章编号： | 1002-4026（2007）04-0029-04 |
| 收稿时间： | 2007-05-15 |
| 修稿时间： | 2007-05-15 |
The Strong Consistency of the Nearest Neighbor Density Estimator of the Nonparametric Regression Function for Pairwises Negative Quadrant Depence Sequences |
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| ZHANG Yan-li,YU Hong-wen. The Strong Consistency of the Nearest Neighbor Density Estimator of the Nonparametric Regression Function for Pairwises Negative Quadrant Depence Sequences[J]. Shandong Science, 2007, 20(4): 29-32 |
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| Authors: | ZHANG Yan-li YU Hong-wen |
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| Affiliation: | 1. Institute of Statistics and Actuary, Shandong Economic University, Jinan 250014, China; 2. Institute of Energy, Siandong Academy of Sciences , Jinan 250014, China |
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| Abstract: | This paper obtains the strong consistency of the nearest neighbor density estimator of the nonparametric regression function for pairwises negative quadrant dependent sequences.We achieve the same mn(x) as that in the case of independent under the same condition,which is the sufficiency of the strong consistency. |
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| Keywords: | negative quadrant dependent nearest neighbor density estimator strong consistency |
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