COMPLETE CLASS RESULTS FOR THE MOMENT MATRICES OF DESIGNS OVER PERMUTATION-INVARIANT SETS
成果类型：
Article
署名作者：
CHENG, CS
刊物名称：
ANNALS OF STATISTICS
ISSN/ISSBN：
0090-5364
DOI：
10.1214/aos/1176324454
发表日期：
1995
页码：
41-54
关键词：
摘要：
In 1987 Cheng determined phi(p)-optimal designs for linear regression (without intercept) over the n-dimensional unit cube [0, 1](n) for -infinity less than or equal to p less than or equal to 1. These are uniform distributions on the vertices with a fixed number of entries equal to unity, and mixtures of neighboring such designs. In 1989 Pukelsheim showed that this class of designs is essentially complete and that the corresponding class of moment matrices is minimally complete, with respect to what he called Kiefer ordering. In this paper, these results are extended to general permutation-invariant design regions.