| 密度核估计的随机加权法 |
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| 引用本文： | 薛留根.密度核估计的随机加权法[J].系统科学与数学,2000,20(1):087-096. |
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| 作者姓名： | 薛留根 |
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| 作者单位： | 薛留根（北京工业大学应用数学系, 北京
100022）;谷震离（许昌师范专科学校计算机系, 许昌 461000） |
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| 基金项目： | 国家自然科学基金和北京市自然科学基金资助课题 |
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| 摘 要： | 利用随机加权法的思想,找出概率密度函数估计的随机加权统计量,在适当的条件下证明随机加权分布逼近核估计误差分布的精度为
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| 关 键 词： | 随机加权法 密度核估计 随机加权估计. |
| 修稿时间： | 1995年10月30 |
Random Weighting Method for Density Kernel Estimates |
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| Liu Gen XUE,Zhen Gao GU,Zhong Guo ZHENG.Random Weighting Method for Density Kernel Estimates[J].Journal of Systems Science and Mathematical Sciences,2000,20(1):087-096. |
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| Authors: | Liu Gen XUE Zhen Gao GU Zhong Guo ZHENG |
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| Institution: | (1)Dept.of Applied Math.,Beijing olutechnic Univ.,Beijing 100022,P.R.China;(2)Xuchang Teacher's College,Xuchang 461000,P.R.China ;(3)Dept.of Probility and Statistics,Beijing Univ.,Beijing 100871,P.R.China |
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| Abstract: | in this paper, the random weighting statistics is designed for the kernel estimator of density function. Under suitable condition, it is proved that the random weighting approximation can attain the accuracy of (log n), where Lastly we study the large sample properties of random weighting estimator. |
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| Keywords: | Random weighting method density kernel estimator random weighting estimator |
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