| NA序列下经验分布函数的渐近正态性及其应用 |
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| 引用本文： | 李永明,杨善朝.NA序列下经验分布函数的渐近正态性及其应用[J].数学研究及应用,2006,26(3):457-464. |
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| 作者姓名： | 李永明 杨善朝 |
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| 作者单位： | 1. 上饶师范学院数学系,江西,上饶,334001
2. 广西师范大学数学系,广西,桂林,541004 |
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| 基金项目： | the National Natural Science Foundation of China (10161004)，the Natural Science Foundation of Jiangxi (0611068)，Science Foundation of Shangrao Normal Gollege. |
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| 摘 要： | 本文在NA负相协序列下利用熟知的相依情形的大小块分割的方法,建立了经验分布函数的渐近正态性．作为在可靠性中的应用,得到了生存函数■(x)=P(X＞x)估计的渐近正态性．
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| 关 键 词： | NA列 经验分布函数 渐近正态性 生存函数 |
| 文章编号： | 1000-341X(2006)03-0457-08 |
| 收稿时间： | 10 30 2003 12:00AM |
| 修稿时间： | 2003年10月30 |
Asymptotic Normality of the Empirical Distribution under Negatively Associated Sequences and its Applications |
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| LI Yong-ming and YANG Shan-chao.Asymptotic Normality of the Empirical Distribution under Negatively Associated Sequences and its Applications[J].Journal of Mathematical Research with Applications,2006,26(3):457-464. |
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| Authors: | LI Yong-ming and YANG Shan-chao |
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| Institution: | Dept. of Math., Shangrao Normal College, Jiangxi 334001, China;Dept. of Math., Guangxi Normal University, Guilin 541004, China |
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| Abstract: | By the well-known large and small blocks parting method for dependent situations, we establish the asymptotic normality of the Empirical Distribution Function under Negatively Associated Sequences. As its application in reliablity problems, a natural estimate $\overline F_n(x) $ for the survival function $\overline F(x)=P(X>x)$ is proposed, and the asymptotic normality of $n^{\frac{1}{2}} \overline F_{n}(x)- \overline F (x)]$ is established. |
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| Keywords: | NA sequences empirical distribution survival function asymptotic normality |
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