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

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	Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions
	Tian, GL ; Fang, KT
	1999-05-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	42 期号:5 页码:456-470
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.
关键词	discrepancy isotonic restriction Monte Carlo optimization multivariate distribution uniform design
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000081220100002
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/14271
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.