Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions
文献类型：期刊论文
| 作者 | Tian, GL; Fang, KT |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000081220100002 |
| 出版者 | SCIENCE PRESS |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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