| 分布对称中心的U检验方法 |
| |
| 引用本文： | 王芳,崔恒建,金蛟. 分布对称中心的U检验方法[J]. 北京师范大学学报(自然科学版), 2009, 45(1): 17-21 |
| |
| 作者姓名： | 王芳 崔恒建 金蛟 |
| |
| 作者单位： | 北京师范大学数学科学学院,北京师范大学统计数据分析实验室,100875,北京;北京师范大学数学科学学院,北京师范大学统计数据分析实验室,100875,北京;北京师范大学数学科学学院,北京师范大学统计数据分析实验室,100875,北京 |
| |
| 基金项目： | 国家自然科学基金，教育部重大项目 |
| |
| 摘 要： | 基于构造U统计量提出了检验对称随机变量分布对称中心的一种新的检验统计量,获得了该检验统计量在原假设与备择假设下的极限分布,并用Bootstrap方法来获得检验拒绝域的临界值,对几类重要对称分布下该检验统计量的检验功效进行了比较,说明了该检验统计量的优良性.
|
| 关 键 词： | U统计量 对称中心 渐近分布 Bootstrap方法 |
SYMMETRIC CENTER TEST BY USING U-STATISTICS |
| |
| WANG Fang,CUI Hengjian,JIN Jiao. SYMMETRIC CENTER TEST BY USING U-STATISTICS[J]. Journal of Beijing Normal University(Natural Science), 2009, 45(1): 17-21 |
| |
| Authors: | WANG Fang CUI Hengjian JIN Jiao |
| |
| Affiliation: | WANG Fang CUI Hengjian JIN Jiao(School of Mathematical Sciences,Laboratory of Mathematics , Complex Systems of Ministry of Education: Beijing Normal University,100875,Beijing,China) |
| |
| Abstract: | A new test based on U statistics for the center of symmetric distribution is proposed in this paper.Asymptotic null distribution and asymptotic non-null distribution of this statistic are derived,so that oritical value of rejection region could be obtained by using bootstrap method.The power functions comparision of our test with counting statistic means that our U statistic has good performance for several symmetric distribution. |
| |
| Keywords: | U statistic symmetric center asymptotic distribution Bootstrap method |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
