全数据加速寿命试验分析的Weibull几何过程模型

M. Kamal, S. Zarrin, S. Saxena, Arif-ul-Islam
{"title":"全数据加速寿命试验分析的Weibull几何过程模型","authors":"M. Kamal, S. Zarrin, S. Saxena, Arif-ul-Islam","doi":"10.5923/J.STATISTICS.20120205.03","DOIUrl":null,"url":null,"abstract":"In this paper the Weibull geo metric process model is utilized for the analysis of accelerated life testing under constant stress. By assuming that the lifetimes under increasing stress levels form a geometric process, the maximu m like lihood estimates of the parameters and their confidence intervals (CIs) using both asymptotic and parametric bootstrap method are derived. The performance of the estimators is evaluated by a simu lation study with different pre-fixed parameters. This paper also compares the geometric process model with the traditional log-linear model. A simulation study is also performed to co mpare the performances of the geometric model and the log-linear model.","PeriodicalId":91518,"journal":{"name":"International journal of statistics and applications","volume":"3 1","pages":"60-66"},"PeriodicalIF":0.0000,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":"{\"title\":\"Weibull Geometric Process Model for the Analysis of Accelerated Life Testing with Complete Data\",\"authors\":\"M. Kamal, S. Zarrin, S. Saxena, Arif-ul-Islam\",\"doi\":\"10.5923/J.STATISTICS.20120205.03\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper the Weibull geo metric process model is utilized for the analysis of accelerated life testing under constant stress. By assuming that the lifetimes under increasing stress levels form a geometric process, the maximu m like lihood estimates of the parameters and their confidence intervals (CIs) using both asymptotic and parametric bootstrap method are derived. The performance of the estimators is evaluated by a simu lation study with different pre-fixed parameters. This paper also compares the geometric process model with the traditional log-linear model. A simulation study is also performed to co mpare the performances of the geometric model and the log-linear model.\",\"PeriodicalId\":91518,\"journal\":{\"name\":\"International journal of statistics and applications\",\"volume\":\"3 1\",\"pages\":\"60-66\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"15\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International journal of statistics and applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5923/J.STATISTICS.20120205.03\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of statistics and applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5923/J.STATISTICS.20120205.03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 15

摘要

本文将威布尔几何过程模型用于恒应力加速寿命试验的分析。通过假设应力水平增加下的寿命形成几何过程,利用渐近和参数自举方法导出了参数及其置信区间(ci)的最大似然似然估计。通过不同预固定参数的仿真研究,对估计器的性能进行了评价。并将几何过程模型与传统的对数线性模型进行了比较。通过仿真研究,比较了几何模型和对数线性模型的性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Weibull Geometric Process Model for the Analysis of Accelerated Life Testing with Complete Data
In this paper the Weibull geo metric process model is utilized for the analysis of accelerated life testing under constant stress. By assuming that the lifetimes under increasing stress levels form a geometric process, the maximu m like lihood estimates of the parameters and their confidence intervals (CIs) using both asymptotic and parametric bootstrap method are derived. The performance of the estimators is evaluated by a simu lation study with different pre-fixed parameters. This paper also compares the geometric process model with the traditional log-linear model. A simulation study is also performed to co mpare the performances of the geometric model and the log-linear model.
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
自引率
0.00%
发文量
0
×
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