Approximating probabilities of correlated events

doi:10.1007/s11425-010-4053-0

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	Approximating probabilities of correlated events
	Li QiZhai1,2 ; Zheng Gang 3; Liu AiYi 4; Li ZhaoHai 2,5; Yu Kai 2
	2010-11-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	53 期号:11 页码:2937-2948
摘要	Efron (1997) considered several approximations of p-values for simultaneous hypothesis testing. An extension of his approaches is considered here to approximate various probabilities of correlated events. Compared with multiple-integrations, our proposed method, the parallelogram formulas, based on a one-dimensional integral, not only substantially reduces the computational complexity but also maintains good accuracy. Applications of the proposed method to genetic association studies and group sequential analysis are investigated in detail. Numerical results including real data analysis and simulation studies demonstrate that the proposed method performs well.
关键词	case-control group sequential test genetic association studies MAX parallelogram
DOI	10.1007/s11425-010-4053-0
语种	英语
资助项目	NIH[EY014478] ; National Natural Science Foundation of China[10901155]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000284382200012
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/10393
专题	系统科学研究所
通讯作者	Li QiZhai
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.NCI, Biostat Branch, Div Canc Epidemiol & Genet, Bethesda, MD 20892 USA 3.NHLBI, Off Biostat Res, Bethesda, MD 20892 USA 4.NICHHD, Biostat & Bioinformat Branch, Bethesda, MD 20892 USA 5.George Washington Univ, Dept Stat, Washington, DC 20052 USA
推荐引用方式 GB/T 7714	Li QiZhai,Zheng Gang,Liu AiYi,et al. Approximating probabilities of correlated events[J]. SCIENCE CHINA-MATHEMATICS,2010,53(11):2937-2948.
APA	Li QiZhai,Zheng Gang,Liu AiYi,Li ZhaoHai,&Yu Kai.(2010).Approximating probabilities of correlated events.SCIENCE CHINA-MATHEMATICS,53(11),2937-2948.
MLA	Li QiZhai,et al."Approximating probabilities of correlated events".SCIENCE CHINA-MATHEMATICS 53.11(2010):2937-2948.