Document Type

Journal Article

Department/Unit

Department of Mathematics

Abstract

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.

Publication Year

1999

Journal Title

Statistica Sinica

Volume number

9

Issue number

3

Publisher

Academia Sinica, Institute of Statistical Science

First Page (page number)

905

Last Page (page number)

912

Referreed

1

ISSN (print)

19968507

Keywords

Experimental design, Latin squares, L2-discrepancy, threshold accepting algorithm, uniform design, uniformity

Included in

Mathematics Commons

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