| 充分统计量的贝叶斯定义及其应用 |
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| 引用本文： | 翟艳敏.充分统计量的贝叶斯定义及其应用[J].四川师范大学学报(自然科学版),2002,25(5):515-517. |
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| 作者姓名： | 翟艳敏 |
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| 作者单位： | 西南交通大学,应用数学系,四川,成都,610031 |
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| 摘 要： | 充分统计量在简化统计问题中是一个非常重要的概念 .在经典统计中 ,它的定义是使用数学期望来叙述的 ,用到的数学知识较多且不易理解 ,而使用Bayes统计的观点定义充分统计量 ,从而证明有关充分统计量的等价命题 ,为判断一个统计量的充分性提供了简单有效的方法 .
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| 关 键 词： | 充分统计量 先验分布 后验分布 条件期望 |
| 文章编号： | 1001-8395(2002)05-0515-03 |
| 修稿时间： | 2002年2月27日 |
Bayes' Definition of Sufficient Statistics and Its Application |
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| ZHAI Yan,min.Bayes'''' Definition of Sufficient Statistics and Its Application[J].Journal of Sichuan Normal University(Natural Science),2002,25(5):515-517. |
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| Authors: | ZHAI Yan min |
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| Abstract: | Sufficient statistic is a very important concept in studying the statistical problems. In the classical statistics, its definition is described by means of expectation, which involves much mathematical knowledge and can not be easily understood. In this paper this concept is redefined from the point of view of Bayes' statistics and an equivalent proposition is proved by this definition. A simple and efficient method determing whether or not a statistic is sufficient. |
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| Keywords: | Sufficient statistics Prior distrbution Posterior distrbutionp Conditional expection |
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