| 序集抽样中$M$估计分布的随机加权逼近 |
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| 引用本文： | 吴耀华,刘驰宇. 序集抽样中$M$估计分布的随机加权逼近[J]. 系统科学与数学, 2009, 29(5): 693-705 |
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| 作者姓名： | 吴耀华 刘驰宇 |
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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： | 国家自然科学基金，中国科学院知识创新工程项目 |
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| 摘 要： | 序集抽样是一种适用于准确测量花费太高而排序费用可以忽略不记时的一种抽样方法.讨论了序集抽样下的对于一般分布族M估计的相合性和渐近正态性并且通过随机加权的方法来估计M估计的分布.
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| 关 键 词： | 序集抽样 M估计 随机加权 渐近正态性. |
| 收稿时间： | 2006-11-07 |
| 修稿时间： | 2007-09-24 |
Approximation to the Distribution of M-Estimates in Ranked-Set Sampling by Randomly Weighted Bootstrap |
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| WU Yaohua,LIU Chiyu. Approximation to the Distribution of M-Estimates in Ranked-Set Sampling by Randomly Weighted Bootstrap[J]. Journal of Systems Science and Mathematical Sciences, 2009, 29(5): 693-705 |
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| Authors: | WU Yaohua LIU Chiyu |
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| Affiliation: | University of Science and Technology of China, Hefei, Anhui 230026 |
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| Abstract: | Ranked-Set Sampling(RSS) is a sampling method when a set of sampling units drawn from the population can be ranked by certain means rather cheaply without the actual measurement of the variable of interest which is costlyand/or time consuming. This paper is concerned with the consistency and asymptotic normality on the RSS M-estimates and approximation to its distribution by randomly weighted bootstrap. |
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| Keywords: | Ranked-Set sampling M-estimates randomly weighted bootstrap asymptotic normality. |
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