Implementation of the sequential optimal design strategy in Type-II progressive censoring with the GLM-based mechanism

IF 0.6 4区 数学 Q4 STATISTICS & PROBABILITY Journal of the Korean Statistical Society Pub Date : 2024-04-10 DOI:10.1007/s42952-024-00266-3
Fatemeh Hassantabar Darzi, Firoozeh Haghighi, Samaneh Eftekhari Mahabadi
{"title":"Implementation of the sequential optimal design strategy in Type-II progressive censoring with the GLM-based mechanism","authors":"Fatemeh Hassantabar Darzi, Firoozeh Haghighi, Samaneh Eftekhari Mahabadi","doi":"10.1007/s42952-024-00266-3","DOIUrl":null,"url":null,"abstract":"<p>Single-objective optimal designs might be criticized for not covering all aspects of the experiment when the experiment possesses multiple goals. In such a case, multi-objective optimal design is of interest. This paper adopts a sequential approach to obtain a multi-objective optimal design for Type-II progressive censoring with a dependent GLM-based random removal mechanism. Several simulation studies are conducted to evaluate and compare the performance of the proposed approach. A sensitivity analysis has been performed to investigate the effect of misspecification of design input parameters. Also, the sequential optimal design solution is used to construct the bounds in the <span>\\(\\epsilon\\)</span>-constraint optimal design. Finally, the usefulness of the proposed strategy is demonstrated through two real-life data analyses.</p>","PeriodicalId":49992,"journal":{"name":"Journal of the Korean Statistical Society","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Korean Statistical Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s42952-024-00266-3","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: 0

Abstract

Single-objective optimal designs might be criticized for not covering all aspects of the experiment when the experiment possesses multiple goals. In such a case, multi-objective optimal design is of interest. This paper adopts a sequential approach to obtain a multi-objective optimal design for Type-II progressive censoring with a dependent GLM-based random removal mechanism. Several simulation studies are conducted to evaluate and compare the performance of the proposed approach. A sensitivity analysis has been performed to investigate the effect of misspecification of design input parameters. Also, the sequential optimal design solution is used to construct the bounds in the \(\epsilon\)-constraint optimal design. Finally, the usefulness of the proposed strategy is demonstrated through two real-life data analyses.

Abstract Image

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
利用基于 GLM 的机制,在第二类渐进剔除中实施顺序优化设计策略
当实验具有多个目标时,单目标优化设计可能会因无法涵盖实验的所有方面而受到批评。在这种情况下,多目标优化设计就显得尤为重要。本文采用一种序列方法,通过基于依赖 GLM 的随机剔除机制,获得 II 型渐进剔除的多目标最优设计。本文进行了多项模拟研究,以评估和比较所提方法的性能。还进行了敏感性分析,以研究设计输入参数指定错误的影响。同时,利用顺序优化设计方案来构建 \(\epsilon\)- 约束优化设计中的边界。最后,通过两个实际数据分析证明了所提策略的实用性。
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 去求助
来源期刊
Journal of the Korean Statistical Society
Journal of the Korean Statistical Society 数学-统计学与概率论
CiteScore
1.30
自引率
0.00%
发文量
37
审稿时长
3 months
期刊介绍: The Journal of the Korean Statistical Society publishes research articles that make original contributions to the theory and methodology of statistics and probability. It also welcomes papers on innovative applications of statistical methodology, as well as papers that give an overview of current topic of statistical research with judgements about promising directions for future work. The journal welcomes contributions from all countries.
期刊最新文献
Asymmetric kernel density estimation for biased data Community detection for networks based on Monte Carlo type algorithms Integrated volatility estimation: the case of observed noise variables Using statistical models for optimal packaging in semiconductor manufacturing processes Generalized parametric help in Hilbertian additive regression
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1