| Local Polynomial Estimation of Distribution Functions |
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| 作者姓名： | 李永红 曾霞 |
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| 作者单位： | Department of Mathematics Southwest Jiaotong University，Chengdu 610031 China，School of Information and Management Hubei University of Economics Wuhan 430205 China |
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| 摘 要： | Introduction It is always a focus for statisticians to estimateand predict the function and the related informationusing sample data in the situation without knowing thedistribution function. LetX1,X2,…,Xnbe a samplefrom a population with distribution fu…
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| 关 键 词： | 多项式 分布函数 正交级数 估值 |
| 文章编号： | 1005-2429（2007）01-0065-05 |
| 收稿时间： | 2006-06-30 |
Local Polynomial Estimation of Distribution Functions |
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| LI Yong-hong,ZENG Xia.Local Polynomial Estimation of Distribution Functions[J].Journal of Southwest Jiaotong University,2007,15(1):65-69. |
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| Authors: | LI Yong-hong ZENG Xia |
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| Abstract: | Under the condition that the total distribution function is continuous and bounded on (-∞,∞), we constructed estimations for distribution and hazard functions with local polynomial method, and obtained the rate of strong convergence of the estimations. |
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| Keywords: | Local polynomial method Strong consistency Hazard function |
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