A Note on Optimal Bounded Designs

  • Michael Sahm
  • Rainer Schwabe
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 51)


An equivalence theorem is formulated to characterize optimal designs with general prespecified direct constraints on the design intensity. As an application locally optimal designs are obtained with bounded intensity for the logistic regression model. Moreover, it is shown that, for additive models, optimal marginally bounded designs can be generated from their optimal counterparts in the corresponding marginal models.


constrained design equivalence theorem optimal design logistic regression bounded design intensity additive model marginal design 


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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Michael Sahm
    • 1
  • Rainer Schwabe
    • 2
  1. 1.Institute for Applied MathematicsUniversity of HeidelbergHeidelbergGermany
  2. 2.Institute of Medical BiometryUniversity of TübingenTübingenGermany

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