Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions

	Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions
	Tian, GL ; Fang, KT
刊名	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
	1999-05-01
卷号	42 期号:5 页码:456-470
关键词	discrepancy isotonic restriction Monte Carlo optimization multivariate distribution uniform design
ISSN号	1006-9283
英文摘要	With order statistics of the uniform distribution on [0,1], exponential and beta distributions, a stochastic representation is obtained for the uniform distribution over various domains, where A-type domains are closely associated with reliability growth analysis, order restricted statistical inference and isotonic regression theory, V-type domains are connected with the mixture-amount experiments, and T-type domains are well related to mixture experiments. With these stochastic representations, the corresponding uniform distribution and number-theoretic nets can be generated. This approach seems to be new and is called order statistics method. Some examples on reliability growth analysis and experimental design are presented.
WOS研究方向	Mathematics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000081220100002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/14270]
专题	中国科学院数学与系统科学研究院
通讯作者	Tian, GL
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Hong Kong Baptist Univ, Hong Kong, Hong Kong
推荐引用方式 GB/T 7714	Tian, GL,Fang, KT. Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1999,42(5):456-470.
APA	Tian, GL,&Fang, KT.(1999).Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,42(5),456-470.
MLA	Tian, GL,et al."Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 42.5(1999):456-470.