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R-optimal designs for mixture models in two types of regions

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  • Jiacheng Luo
  • Chongqi Zhang

Abstract

This article presents a study of R-optimality for mixture models in two types of regions. One is the direct sum experimental region for additive mixture models. Sufficient conditions are given so that R-optimal design for additive mixture models can be constructed from the R-optimal designs for homogeneous models in sub-mixture systems. On the other hand, we explore the R-optimality of product-type design in cuboidal regions, and the optimal design can be constructed from transformed models. Two examples are given to show the methods of constructing optimal designs.

Suggested Citation

  • Jiacheng Luo & Chongqi Zhang, 2024. "R-optimal designs for mixture models in two types of regions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(5), pages 1851-1863, March.
    • Handle: RePEc:taf:lstaxx:v:53:y:2024:i:5:p:1851-1863
    DOI: 10.1080/03610926.2022.2116283
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