Department of Mathematics
Uniform designs (UDs) have been widely used in various fields. Traditionally they were generated by so-called good lattice point (glp) sets. In this paper, we propose a new approach based on cyclic Latin squares (CLS). The UDs generated have much smaller discrepancies than those proposed by Wang and Fang (1981). A threshold accepting algorithm is employed for finding the CLS with smallest L2-discrepancy.
Experimental design, Latin squares, L2-discrepancy, threshold accepting algorithm, uniform design, uniformity
Source Publication Title
Academia Sinica, Institute of Statistical Science
Fang, Kai-Tai, Wai Chee Shiu, and Jian-Xin Pan. "Uniform designs based on Latin squares." Statistica Sinica 9.3 (1999): 905-912.