DISPERSION COMPARISONS OF TWO PROBABILITY VECTORS UNDER MULTINOMIAL SAMPLING

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	DISPERSION COMPARISONS OF TWO PROBABILITY VECTORS UNDER MULTINOMIAL SAMPLING
	Xiong Shifeng; Li Guoying
刊名	ACTA MATHEMATICA SCIENTIA
	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
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000278171600022
内容类型	期刊论文
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.