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December 1997 Lattice-based D-optimum design for Fourier regression
Eva Riccomagno, Rainer Schwabe, Henry P. Wynn
Ann. Statist. 25(6): 2313-2327 (December 1997). DOI: 10.1214/aos/1030741074

Abstract

A theory of optimum orthogonal fractions is developed for Fourier regression models using integer lattice designs. These provide alternatives to simple grids (product designs) in the case when specified main effects and interaction terms are required to be analyzed. The challenge is to obtain sample sizes which are polynomial in the dimension rather than exponential. This is achieved for certain models with special algorithms based on both algebraic generation and more direct sequential search.

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Eva Riccomagno. Rainer Schwabe. Henry P. Wynn. "Lattice-based D-optimum design for Fourier regression." Ann. Statist. 25 (6) 2313 - 2327, December 1997. https://doi.org/10.1214/aos/1030741074

Information

Published: December 1997
First available in Project Euclid: 30 August 2002

zbMATH: 0895.62081
MathSciNet: MR1604453
Digital Object Identifier: 10.1214/aos/1030741074

Subjects:
Primary: 62J99, 62K05

Rights: Copyright © 1997 Institute of Mathematical Statistics

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Vol.25 • No. 6 • December 1997
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