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Modified Robust Design Criteria for Poisson Mixed Models

  • Hongyan Jiang
  • Rongxian YueEmail author
Chapter
  • 83 Downloads

Abstract

The maximin D-optimal design (MMD-optimal design) and hypercube design (HCD-optimal design) are two robust designs which overcome the problem of design dependence on the unknown parameters. This article considers the robust designs for Poisson mixed models. Given the prior knowledge of the fixed effects parameters, a modification of the two robust design criteria is proposed by applying the number-theoretic methods. The simulated annealing algorithm is used to find the optimal exact designs. The results show that the modified optimal designs perform better in the relative D-efficiency and programming time.

Notes

Acknowledgments

The work is supported by the NSFC grants 11971318, 11871143.

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Huaiyin Institute of TechnologyJiangsuChina
  2. 2.College of Mathematics and ScienceShanghai Normal UniversityShanghaiChina

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