CSpace
Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions
Tian, GL; Fang, KT
1999-05-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
Volume42Issue:5Pages:456-470
AbstractWith 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.
Keyworddiscrepancy isotonic restriction Monte Carlo optimization multivariate distribution uniform design
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000081220100002
PublisherSCIENCE PRESS
Citation statistics
Cited Times:10[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14271
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
2.Hong Kong Baptist Univ, Hong Kong, Hong Kong
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Tian, GL]'s Articles
[Fang, KT]'s Articles
Baidu academic
Similar articles in Baidu academic
[Tian, GL]'s Articles
[Fang, KT]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Tian, GL]'s Articles
[Fang, KT]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.