Note on some $\phi_p$-Optimal Designs for Polynomial Regression

W. J. Studden

doi:10.1214/aos/1176347129

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Home > Journals > Ann. Statist. > Volume 17 > Issue 2 > Article

June, 1989 Note on some $\phi_p$-Optimal Designs for Polynomial Regression

W. J. Studden

Ann. Statist. 17(2): 618-623 (June, 1989). DOI: 10.1214/aos/1176347129

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Abstract

In a recent paper of Gaffke an example was given regarding the $\phi_p$-optimal designs for the highest two coefficients in a one dimensional polynomial regression. The purpose of this paper is to supply a direct proof of this result using the theory of canonical moments and orthogonal polynomials.

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W. J. Studden. "Note on some $\phi_p$-Optimal Designs for Polynomial Regression." Ann. Statist. 17 (2) 618 - 623, June, 1989. https://doi.org/10.1214/aos/1176347129