SOME APPLICATION OF NUMBER-THEORETIC METHODS IN STATISTICS

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	SOME APPLICATION OF NUMBER-THEORETIC METHODS IN STATISTICS
	FANG, KT ; WANG, Y ; BENTLER, PM
	1994-08-01
发表期刊	STATISTICAL SCIENCE
ISSN	0883-4237
卷号	9 期号:3 页码:416-428
摘要	Number-theoretic methods (NTM's) are a class of techniques by which representative points of the uniform distribution on the unit cube of R(s) can be generated. NTM have been widely used in numerical analysis, especially in evaluation of high-dimensional integrals. Recently, NTM's have been extended to generate representative points for many useful multivariate distributions and have been systematically applied in statistics. In this paper, we shall introduce NTM's and review their applications in statistics, such as evaluation of the expected value of a random vector, statistical inference, regression analysis, geometric probability and experimental design.
关键词	F-DISCREPANCY NUMBER-THEORETIC METHOD MULTIVARIATE DISTRIBUTION MULTIVARIATE STATISTICS QUASI-MONTE-CARLO METHOD
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:A1994PX33200008
出版者	INST MATHEMATICAL STATISTICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/27527
专题	中国科学院数学与系统科学研究院
通讯作者	FANG, KT
作者单位	1.CHINESE ACAD SCI,INST APPL MATH,BEIJING,PEOPLES R CHINA 2.CHINESE ACAD SCI,INST MATH,BEIJING,PEOPLES R CHINA 3.UNIV CALIF LOS ANGELES,DEPT PSYCHOL,LOS ANGELES,CA 90024
推荐引用方式 GB/T 7714	FANG, KT,WANG, Y,BENTLER, PM. SOME APPLICATION OF NUMBER-THEORETIC METHODS IN STATISTICS[J]. STATISTICAL SCIENCE,1994,9(3):416-428.
APA	FANG, KT,WANG, Y,&BENTLER, PM.(1994).SOME APPLICATION OF NUMBER-THEORETIC METHODS IN STATISTICS.STATISTICAL SCIENCE,9(3),416-428.
MLA	FANG, KT,et al."SOME APPLICATION OF NUMBER-THEORETIC METHODS IN STATISTICS".STATISTICAL SCIENCE 9.3(1994):416-428.