Lattice-based D-optimum design for Fourier regression
成果类型：
Article
署名作者：
Riccomagno, E; Schwabe, R; Wynn, HP
署名单位：
University of Warwick; Technical University of Darmstadt
刊物名称：
ANNALS OF STATISTICS
ISSN/ISSBN：
0090-5364
DOI：
10.1214/aos/1030741074
发表日期：
1997
页码：
2313-2327
关键词：
摘要：
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.