Orthogonal uniform composite designs for the third-order models

IF 0.6 4区 数学 Q4 STATISTICS & PROBABILITY
Brenda Mbouamba Yankam, A. Oladugba
{"title":"Orthogonal uniform composite designs for the third-order models","authors":"Brenda Mbouamba Yankam, A. Oladugba","doi":"10.1214/22-bjps555","DOIUrl":null,"url":null,"abstract":": The third-order response surface designs are designs used to estimate the parameters of the third-order polynomial model. In this paper, the orthogonal uniform composite designs that combine two-level orthogonal array and four-level uniform design denoted by OUCD 4 for estimating the parameters of the third-order models are proposed. The OUCD 4 are good space-filling and efficient designs, that uses resolution IV as the initial design, provide more flexible run sizes, have the ability to execute in-depth analysis and perform multiple analysis with different parts of the data for cross-validation.","PeriodicalId":51242,"journal":{"name":"Brazilian Journal of Probability and Statistics","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Brazilian Journal of Probability and Statistics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1214/22-bjps555","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 1

Abstract

: The third-order response surface designs are designs used to estimate the parameters of the third-order polynomial model. In this paper, the orthogonal uniform composite designs that combine two-level orthogonal array and four-level uniform design denoted by OUCD 4 for estimating the parameters of the third-order models are proposed. The OUCD 4 are good space-filling and efficient designs, that uses resolution IV as the initial design, provide more flexible run sizes, have the ability to execute in-depth analysis and perform multiple analysis with different parts of the data for cross-validation.
三阶模型的正交均匀复合设计
:三阶响应面设计是用于估计三阶多项式模型参数的设计。本文提出了将两级正交阵列和OUCD 4表示的四级均匀设计相结合的正交均匀组合设计,用于估计三阶模型的参数。OUCD 4是良好的空间填充和高效设计,使用分辨率IV作为初始设计,提供更灵活的运行规模,能够执行深入分析,并对数据的不同部分进行多重分析以进行交叉验证。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
CiteScore
1.60
自引率
10.00%
发文量
30
审稿时长
>12 weeks
期刊介绍: The Brazilian Journal of Probability and Statistics aims to publish high quality research papers in applied probability, applied statistics, computational statistics, mathematical statistics, probability theory and stochastic processes. More specifically, the following types of contributions will be considered: (i) Original articles dealing with methodological developments, comparison of competing techniques or their computational aspects. (ii) Original articles developing theoretical results. (iii) Articles that contain novel applications of existing methodologies to practical problems. For these papers the focus is in the importance and originality of the applied problem, as well as, applications of the best available methodologies to solve it. (iv) Survey articles containing a thorough coverage of topics of broad interest to probability and statistics. The journal will occasionally publish book reviews, invited papers and essays on the teaching of statistics.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信