Testing for the maximum cell probabilities in multinomial distributions

doi:10.1360/022004-22

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	Testing for the maximum cell probabilities in multinomial distributions
	Xiong, SF; Li, GY
	2005-07-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	48 期号:7 页码:972-985
摘要	This paper investigates one-sided hypotheses testing for p([1]), the largest cell probability of multinomial distribution. A small sample test of Ethier (11982) is extended to the general cases. Based on an estimator of p([1]), a kind of large sample tests is proposed. The asymptotic power of the above tests under local alternatives is derived. An example is presented at the end of this paper.
关键词	multinomial distribution hypothesis testing maximum multinomial probability order statistics asymptotic distribution local alternatives
DOI	10.1360/022004-22
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000230546100009
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1900
专题	系统科学研究所
通讯作者	Li, GY
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xiong, SF,Li, GY. Testing for the maximum cell probabilities in multinomial distributions[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2005,48(7):972-985.
APA	Xiong, SF,&Li, GY.(2005).Testing for the maximum cell probabilities in multinomial distributions.SCIENCE IN CHINA SERIES A-MATHEMATICS,48(7),972-985.
MLA	Xiong, SF,et al."Testing for the maximum cell probabilities in multinomial distributions".SCIENCE IN CHINA SERIES A-MATHEMATICS 48.7(2005):972-985.