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 |
NA序列下经验分布函数的渐近正态性及其应用 |
Asymptotic Normality of the Empirical Distribution under Negatively Associated Sequences and its Applications |
投稿时间:2003-10-30 |
DOI:10.3770/j.issn:1000-341X.2006.03.005 |
中文关键词: NA列 经验分布函数 渐近正态性 生存函数. |
英文关键词:NA sequences empirical distribution survival function asymptotic normality. |
基金项目:the National Natural Science Foundation of China (10161004), the Natural Science Foundation of Jiangxi (0611068) and Science Foundation of Shangrao Normal College. |
|
摘要点击次数: 3951 |
全文下载次数: 1975 |
中文摘要: |
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$\overline F(x)=P(X>x)$估计的渐近正态性. |
英文摘要: |
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. |
查看全文 查看/发表评论 下载PDF阅读器 |