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

Guoliang Tian*, Kaitai Fang

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

14 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)456-470
Number of pages15
JournalScience China Mathematics
Volume42
Issue number5
DOIs
Publication statusPublished - May 1999
Externally publishedYes

Scopus Subject Areas

  • Mathematics(all)

User-Defined Keywords

  • Discrepancy
  • Isotonic restriction
  • Monte Carlo optimization
  • Multivariate distribution
  • Uniform design

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