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Excess of locally D-optimal designs for Cobb–Douglas model

  • Yu. D. Grigoriev
  • V. B. Melas
  • P. V. Shpilev
Regular Article

Abstract

In this paper we study the problem of homothety’s influence on the number of optimal design support points under fixed values of a regression model’s parameters. The Cobb–Douglas two-dimensional nonlinear in parameters model used in microeconomics is considered. There exist two types of optimal designs: saturated (i.e. design with the number support points equal to the number of parameters) and excess design (i.e. design with greater number of support points). The optimal designs with the minimal number of support points are constructed explicitly. Numerical methods for constructing designs with greater number of points are used.

Keywords

Excess design Locally D-optimal designs Homothetic transformation Cobb–Douglas model 

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.St. Petersburg State Electrotechnical UniversitySt. PetersburgRussia
  2. 2.Faculty of Mathematics & MechanicsSt. Petersburg State UniversitySt. PetersburgRussia

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