Uniform designs based on Latin squares

Citation
Kt. Fang et al., Uniform designs based on Latin squares, STAT SINICA, 9(3), 1999, pp. 905-912
Citations number
9
Categorie Soggetti
Mathematics
Journal title
STATISTICA SINICA
ISSN journal
10170405 → ACNP
Volume
9
Issue
3
Year of publication
1999
Pages
905 - 912
Database
ISI
SICI code
1017-0405(199907)9:3<905:UDBOLS>2.0.ZU;2-M
Abstract
Uniform designs (UDs) have been widely used in various fields. Traditionall y they were generated by so-called good lattice point (glp) sets. In this p aper, we propose a new approach based on cyclic Latin squares (CLS). The UD s generated have much smaller discrepancies than those proposed by Wang and Fang (1981). A threshold accepting algorithm is employed for finding the C LS with smallest L-2-discrepancy.