三阶贝克尔模型的加权单纯形中心点混合实验：R 最佳方法

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY

Statistics & Probability Letters Pub Date : 2024-06-19 DOI:10.1016/j.spl.2024.110189

Bushra Husain , Fariha Aslam

{"title":"三阶贝克尔模型的加权单纯形中心点混合实验：R 最佳方法","authors":"Bushra Husain , Fariha Aslam","doi":"10.1016/j.spl.2024.110189","DOIUrl":null,"url":null,"abstract":"<div><p>The R-optimality criterion, suggested as a substitute for the widely used D-optimality criteria, is employed in experimental designs when the primary goal is to create a rectangular confidence region. This study explores R-optimal designs concerning third order Becker’s models and calculates weights for values of <span><math><mrow><mn>3</mn><mo>≤</mo><mi>q</mi><mo>≤</mo><mn>10</mn></mrow></math></span>. Additionally, it compares and contrasts the D-optimal and R-optimal designs.</p></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"213 ","pages":"Article 110189"},"PeriodicalIF":0.9000,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Weighted Simplex Centroid Mixture Experiments for third order Becker’s models: The R-optimal approach\",\"authors\":\"Bushra Husain , Fariha Aslam\",\"doi\":\"10.1016/j.spl.2024.110189\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The R-optimality criterion, suggested as a substitute for the widely used D-optimality criteria, is employed in experimental designs when the primary goal is to create a rectangular confidence region. This study explores R-optimal designs concerning third order Becker’s models and calculates weights for values of <span><math><mrow><mn>3</mn><mo>≤</mo><mi>q</mi><mo>≤</mo><mn>10</mn></mrow></math></span>. Additionally, it compares and contrasts the D-optimal and R-optimal designs.</p></div>\",\"PeriodicalId\":49475,\"journal\":{\"name\":\"Statistics & Probability Letters\",\"volume\":\"213 \",\"pages\":\"Article 110189\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-06-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Statistics & Probability Letters\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0167715224001585\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics & Probability Letters","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167715224001585","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}

引用次数: 0

摘要

当实验设计的主要目标是创建一个矩形置信区域时，建议采用 R-最优标准来替代广泛使用的 D-最优标准。本研究探讨了有关三阶贝克尔模型的 R-最优设计，并计算了 3≤q≤10 的权重值。此外，它还对 D-最优设计和 R-最优设计进行了比较和对比。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Weighted Simplex Centroid Mixture Experiments for third order Becker’s models: The R-optimal approach

The R-optimality criterion, suggested as a substitute for the widely used D-optimality criteria, is employed in experimental designs when the primary goal is to create a rectangular confidence region. This study explores R-optimal designs concerning third order Becker’s models and calculates weights for values of $3 \leq q \leq 10$ . Additionally, it compares and contrasts the D-optimal and R-optimal designs.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.