强度为2 +的混合级列正交强正交阵列的构造

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY

Statistics & Probability Letters Pub Date : 2025-05-06 DOI:10.1016/j.spl.2025.110447

Chen Li, Yan Zhu, Shanqi Pang

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引用次数: 0

摘要

本文介绍并研究了强正交阵列的空间填充设计。柱正交性是计算机实验中的一个重要性质。本文利用广义乘法，给出了一种求解强度为2 +的混合级列正交强正交阵列（osoa）的通用方法。我们还使用生成器矩阵和扩展替换方法获得了许多新的强度为2 +的混合级osoa。该结构在选择因子水平和运行规模方面提供了方便和灵活性。作为这些方法的应用程序，构造的osoa包含几乎所有现有的数组类作为特例。下面列出了一些选择性的osoa，以供实际使用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Construction of mixed-level column-orthogonal strong orthogonal arrays of strength two plus

Strong orthogonal arrays were introduced and studied as a class of space-filling designs for computer experiments. Column orthogonality is an important property in computer experiments. In this paper, using generalized multiplication, we introduce a new general method for obtaining mixed-level column-orthogonal strong orthogonal arrays (OSOAs) of strength two plus. We also use generator matrices and the expansive replacement method to obtain numerous new mixed-level OSOAs of strength two plus. The constructions offer convenience and flexibility in selecting factor levels and run sizes. As an application of these methods, the constructed OSOAs contain nearly all existing array classes as special cases. Some selective OSOAs are tabulated for practical uses.

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来源期刊

Statistics & Probability Letters 数学-统计学与概率论

CiteScore

1.60

自引率

0.00%

发文量

173

审稿时长

6 months

期刊介绍： Statistics & Probability Letters adopts a novel and highly innovative approach to the publication of research findings in statistics and probability. It features concise articles, rapid publication and broad coverage of the statistics and probability literature. Statistics & Probability Letters is a refereed journal. Articles will be limited to six journal pages (13 double-space typed pages) including references and figures. Apart from the six-page limitation, originality, quality and clarity will be the criteria for choosing the material to be published in Statistics & Probability Letters. Every attempt will be made to provide the first review of a submitted manuscript within three months of submission. The proliferation of literature and long publication delays have made it difficult for researchers and practitioners to keep up with new developments outside of, or even within, their specialization. The aim of Statistics & Probability Letters is to help to alleviate this problem. Concise communications (letters) allow readers to quickly and easily digest large amounts of material and to stay up-to-date with developments in all areas of statistics and probability. The mainstream of Letters will focus on new statistical methods, theoretical results, and innovative applications of statistics and probability to other scientific disciplines. Key results and central ideas must be presented in a clear and concise manner. These results may be part of a larger study that the author will submit at a later time as a full length paper to SPL or to another journal. Theory and methodology may be published with proofs omitted, or only sketched, but only if sufficient support material is provided so that the findings can be verified. Empirical and computational results that are of significant value will be published.