Uniform minimum moment aberration designs

Xue Yang, Gui-Jun Yang and Ya-Juan Su

Statistics & Probability Letters, 2018, vol. 137, issue C, 26-33

Abstract: This paper discusses the issue of constructing uniform minimum moment aberration designs under discrepancies criteria. By considering all possible level permutations of factors, we establish a linear relationship between power moments and average discrepancy defined by a reproducing kernel for an asymmetrical or symmetrical design. We prove that minimum moment aberration designs often have low average discrepancies. Moreover, the average centered L2-discrepancy is expressed as a linear combination of power moments for a given design. An efficient method for constructing uniform minimum moment aberration designs is proposed. Some asymmetrical uniform minimum moment aberration designs obtained by our method have low centered L2-discrepancy and can be recommended for use in practice.

Keywords: Centered L2-discrepancy; Level permutation; Minimum moment aberration; Uniform design (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1016/j.spl.2017.12.005

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