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Journal of Statistical Theory and Practice

, Volume 7, Issue 4, pp 674–686 | Cite as

On Standardized Maximin Designs for Discrimination Between Two Polynomial Models

  • Viatcheslav B. Melas
Article

Abstract

This article is devoted to standardized maximin designs for discrimination between two polynomial models that differ in degree by two. A relation of such designs to the designs that are optimal for estimating two elder coefficients of a polynomial model was established in a recent paper (Dette et al. 2012b). Under the condition that the ratio of the coefficients belongs to an arbitrary given compact set that is symmetric around zero, the problem was reduced to a much easier maximin problem that can be of some independent interest. Here we present some results on this problem that allow finding standardized maximin discriminating designs explicitly for many cases of theoretical and practical interest. A table of such designs is given.

Keywords

Optimal design Model discrimination Polynomial regression models Standardized maximin designs 

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Copyright information

© Grace Scientific Publishing 2013

Authors and Affiliations

  1. 1.Faculty of Mathematics & MechanicsSt. Petersburg State UniversitySt. PetersburgRussia

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