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, K., Shiu, W., & Pan, J. (1999). Uniform designs based on Latin squares. Statistica Sinica, 9 (3). Retrieved from https://repository.hkbu.edu.hk/math_ja/27