Uniform minimum moment aberration designs

作者：Yang, Xue; Yang, Gui-Jun; Su, Ya-Juan^*

来源：Statistics & Probability Letters, 2018, 137: 26-33.

DOI：10.1016/j.spl.2017.12.005

• Centered L-2-discrepancy
• Level permutation
• Minimum moment aberration
• Uniform design

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 L-2-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 L-2-discrepancy and can be recommended for use in practice.

• 出版日期2018-6
• 单位天津财经大学; 南开大学; 河北师范大学