| 基于负相协样本经验过程的加权弱收敛 |
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| 引用本文： | 袁明,苏淳.基于负相协样本经验过程的加权弱收敛[J].应用概率统计,2000,16(2):199-207. |
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| 作者姓名： | 袁明 苏淳 |
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| 作者单位： | 中国科学技术大学统计与金融系合肥 230026 |
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| 基金项目： | This research was supported by National Science Foundation of China (No.19671078). |
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| 摘 要： | 在文中，我们建立了基于负相协样本经验过程的加权弱收敛，同时利用这个结果，我们还证明了其积分的弱收敛性，并将这些结果应用于生存分析，获得屯一些相应的弱极限性质。
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| 关 键 词： | 加权弱收敛 经验过程 负相协序列 弱极限性质 |
| 修稿时间： | 1999年3月29日 |
Weighted Weak Convergence for Empirical Processes of Negatively Associated Sequences |
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| YUAN MING SU CHUN.Weighted Weak Convergence for Empirical Processes of Negatively Associated Sequences[J].Chinese Journal of Applied Probability and Statisties,2000,16(2):199-207. |
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| Authors: | YUAN MING SU CHUN |
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| Abstract: | In this paper, we develop the weighted weak convergence for empirical process based on negatively associated (NA, for short) random variables. As a direct application of weighted weak convergence, we prove the weak convergence for the integral funtionals of the empirical processes which lead us to a useful result of residual life processes. |
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| Keywords: | weighted weak convergence empirical processes integral functionals negatively associated sequences mean residual process |
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