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Orthogonal Arrays Robust to a Specified Set of Nonnegligible Effects

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Journal of Systems Science & Complexity 2016年第2期29卷 531-541页

作者： CHEN Xueping LIN Jinguan Department of Mathematics Southeast UniversityNanjing 211189China Department of Mathematics Jiangsu University of TechnologyChangzhou 213001China

This paper considers experimental situations where the interested effects have to be or- thogonal to a set of nonnegligible effects. It is shown that various types of orthogonal arrays with mixed strength are A-optimal for estimating the parameters in ANOVA high dimension model representation. Both cases including interactions or not are considered in the model. In particularly, the estimations of all main effects are A-optimal in a mixed strength （2, 2）3 orthogonal array and the estimations of all main effects and two-factor interactions in G~ x G~ are A-optimal in a mixed strength （2, 2）4 orthogonal array. The properties are also illustrated through a simulation study.

关键词： Design of experiment matrix image orthogonal array robust design.

Construction of a Class of Quantum Boolean Functions Based on the Hadamard matrix

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Acta Mathematicae Applicatae Sinica 2015年第4期31卷 1013-1020页

作者： Jiao DU Shan-qi PANG Qiao-yan WEN Jie ZHANG College of Mathematics and Information Science Henan Normal University Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control Henan Normal University State Key Laboratory of Networking and Switching Technology Beijing University of Posts and Telecommunications School of Science Beijing University of Posts and Telecommunications

In this study, a new methodology based on the Hadamard matrix is proposed to construct quantum Boolean functions f such that f ： I2n --2P2n, where I2n is an identity matrix of order 2n and P2n is a projective matrix ... 详细信息

关键词： quantum information matrix image quantum boolean function projective matrix

Generalized Latin matrix and Construction of Orthogonal Arrays

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Acta Mathematicae Applicatae Sinica 2017年第4期33卷 1083-1092页

作者： Shan-qi PANG Li-yan CHEN College of Mathematics and Information Science Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control Henan Normal University Xinxiang 453007 China Anyang Preschool Education College Anyang 456150 China

In this paper, generalized Latin matrix and orthogonal generalized Latin matrices are proposed. By using the property of orthogonal array, some methods for checking orthogonal generalized Latin matrices are presented. We study the relation between orthogonal array and orthogonal generalized Latin matrices and obtain some useful theorems for their construction. An example is given to illustrate applications of main theorems and a new class of mixed orthogonal arrays are obtained.

关键词： orthogonal array generalized Latin matrix orthogonal generalized Latin matrices matrix image generalized permutation difference matrix