Optimal Designs for the Evaluation of an Extremum Point

  • R. C. H. Cheng
  • V. B. Melas
  • A. N. Pepelyshev
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 51)


This paper studies the optimal experimental design for the evaluation of an extremum point of a quadratic regression function of one or several variables. Experimental designs which are locally optimal for arbitrary dimension k among all approximate designs are constructed (although for k > 1 an explicit form proves to be available only under a restriction on the location of the extremum point). The result obtained can be considered as an improvement of the last step of the well-known Box-Wilson procedure


Optimal Design Extremum Point Regression Function Quadratic Regression Optimal Experimental Design 
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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • R. C. H. Cheng
    • 1
  • V. B. Melas
    • 2
  • A. N. Pepelyshev
    • 2
  1. 1.Department of MathematicsUniversity of SouthamptonHighfield, SouthamptonUK
  2. 2.Faculty of Mathematics and MechanicsSt. Petersburg State UniversitySt. PetersburgRussia

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