KMS Of Academy of mathematics and systems sciences, CAS
DISPERSION COMPARISONS OF TWO PROBABILITY VECTORS UNDER MULTINOMIAL SAMPLING | |
Xiong Shifeng![]() | |
2010 | |
发表期刊 | Acta Mathematica Scientia
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ISSN | 0252-9602 |
卷号 | 30期号:3页码:907 |
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. |
语种 | 英语 |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/9810 |
专题 | 系统科学研究所 |
作者单位 | 中国科学院数学与系统科学研究院 |
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. |
APA | Xiong Shifeng,&Li Guoying.(2010).DISPERSION COMPARISONS OF TWO PROBABILITY VECTORS UNDER MULTINOMIAL SAMPLING.Acta Mathematica Scientia,30(3),907. |
MLA | Xiong Shifeng,et al."DISPERSION COMPARISONS OF TWO PROBABILITY VECTORS UNDER MULTINOMIAL SAMPLING".Acta Mathematica Scientia 30.3(2010):907. |
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