DISPERSION COMPARISONS OF TWO PROBABILITY VECTORS UNDER MULTINOMIAL SAMPLING
文献类型：期刊论文
| 作者 | Xiong Shifeng ; Li Guoying
|
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2010-05-01 |
| 卷号 | 30期号:3页码:907-918 |
| 关键词 | Multinomial distribution dispersion diversity bootstrap hypothesis testing majorization |
| ISSN号 | 0252-9602 |
| 英文摘要 | We consider testing hypotheses concerning comparing dispersions between two parameter vectors of multinomial distributions in both one-sample and two-sample cases. The comparison criterion is the concept of Schur majorization. A new dispersion index is proposed for testing the hypotheses. The corresponding test for the one-sample problem is an exact test. For the two-sample problem, the bootstrap is used to approximate the null distribution of the test statistic and the p-value. We prove that the bootstrap test is asymptotically correct and consistent. Simulation studies for the bootstrap test are reported and a real life example is presented. |
| 资助项目 | NSFC[10771126] ; NSFC[10801130] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000278171600022 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9809]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Xiong Shifeng |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xiong Shifeng,Li Guoying. DISPERSION COMPARISONS OF TWO PROBABILITY VECTORS UNDER MULTINOMIAL SAMPLING[J]. ACTA MATHEMATICA SCIENTIA,2010,30(3):907-918. |
| APA | Xiong Shifeng,&Li Guoying.(2010).DISPERSION COMPARISONS OF TWO PROBABILITY VECTORS UNDER MULTINOMIAL SAMPLING.ACTA MATHEMATICA SCIENTIA,30(3),907-918. |
| MLA | Xiong Shifeng,et al."DISPERSION COMPARISONS OF TWO PROBABILITY VECTORS UNDER MULTINOMIAL SAMPLING".ACTA MATHEMATICA SCIENTIA 30.3(2010):907-918. |
入库方式： OAI收割
来源：数学与系统科学研究院
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