Uniform design: Theory and application

Kai Tai Fang, Dennis K.J. Lin, Peter Winker, Yong Zhang

Research output: Contribution to journalArticlepeer-review

659 Scopus citations

Abstract

A uniform design (UD) seeks design points that are uniformly scattered on the domain. It has been popular since 1980. A survey of UD is given in the first portion: The fundamental idea and construction method are presented and discussed and examples are given for illustration. It is shown that UD’s have many desirable properties for a wide variety of applications. Furthermore, we use the global optimization algorithm, threshold accepting, to generate UD's with low discrepancy. The relationship between uniformity and orthogonality is investigated. It turns out that most UD's obtained here are indeed orthogonal.

Original languageEnglish (US)
Pages (from-to)237-248
Number of pages12
JournalTechnometrics
Volume42
Issue number3
DOIs
StatePublished - Aug 2000

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

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