统一混合截尾数据下用篡改随机变量模型估计xii型毛刺恒应力部分加速寿命试验

A. Abd-Elrahman, A. E. Ahmad, Marwa A. Younis
{"title":"统一混合截尾数据下用篡改随机变量模型估计xii型毛刺恒应力部分加速寿命试验","authors":"A. Abd-Elrahman, A. E. Ahmad, Marwa A. Younis","doi":"10.21608/aunj.2019.221105","DOIUrl":null,"url":null,"abstract":"This paper discusses constant stress partially accelerated life tests for unified hybrid censoring data from Burr type XII distribution with a tampered random variable. Both maximum likelihood and Bayesian methods are used to estimate the unknown population parameters and accelerated factor. In order to compute the asymptotic confidence intervals for the maximum likelihood estimators, we first calculate the Fisher information matrix related to the underlying model. On the other hand, Markov Chain Monte Carlo method under squared error loss function is used for obtaining the corresponding Bayesian estimators. In addition, a simulation study is carried out to compare the performances of the resulting estimators.","PeriodicalId":8568,"journal":{"name":"Assiut University Journal of Multidisciplinary Scientific Research","volume":"105 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ESTIMATION IN CONSTANT-STRESS PARTIALLY ACCELERATED LIFE TESTS FOR BURR TYPE XII USING TAMPERED RANDOM VARIABLE MODEL UNDER UNIFIED HYBRID CENSORING DATA\",\"authors\":\"A. Abd-Elrahman, A. E. Ahmad, Marwa A. Younis\",\"doi\":\"10.21608/aunj.2019.221105\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper discusses constant stress partially accelerated life tests for unified hybrid censoring data from Burr type XII distribution with a tampered random variable. Both maximum likelihood and Bayesian methods are used to estimate the unknown population parameters and accelerated factor. In order to compute the asymptotic confidence intervals for the maximum likelihood estimators, we first calculate the Fisher information matrix related to the underlying model. On the other hand, Markov Chain Monte Carlo method under squared error loss function is used for obtaining the corresponding Bayesian estimators. In addition, a simulation study is carried out to compare the performances of the resulting estimators.\",\"PeriodicalId\":8568,\"journal\":{\"name\":\"Assiut University Journal of Multidisciplinary Scientific Research\",\"volume\":\"105 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Assiut University Journal of Multidisciplinary Scientific Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21608/aunj.2019.221105\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Assiut University Journal of Multidisciplinary Scientific Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21608/aunj.2019.221105","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

本文讨论了带有篡改随机变量的Burr型12型分布的统一混合截尾数据的恒应力部分加速寿命试验。采用极大似然法和贝叶斯法对未知总体参数和加速因子进行估计。为了计算最大似然估计的渐近置信区间,我们首先计算与底层模型相关的Fisher信息矩阵。另一方面,利用平方误差损失函数下的马尔可夫链蒙特卡罗方法得到相应的贝叶斯估计量。此外,还进行了仿真研究,比较了所得估计器的性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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
ESTIMATION IN CONSTANT-STRESS PARTIALLY ACCELERATED LIFE TESTS FOR BURR TYPE XII USING TAMPERED RANDOM VARIABLE MODEL UNDER UNIFIED HYBRID CENSORING DATA
This paper discusses constant stress partially accelerated life tests for unified hybrid censoring data from Burr type XII distribution with a tampered random variable. Both maximum likelihood and Bayesian methods are used to estimate the unknown population parameters and accelerated factor. In order to compute the asymptotic confidence intervals for the maximum likelihood estimators, we first calculate the Fisher information matrix related to the underlying model. On the other hand, Markov Chain Monte Carlo method under squared error loss function is used for obtaining the corresponding Bayesian estimators. In addition, a simulation study is carried out to compare the performances of the resulting estimators.
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
期刊最新文献
Assessment of the Annual Effective Dose due to Intake of Natural Radionuclides from some Food Samples Representation in Fréchet Spaces of Hyperbolic Theta and Integral Operator Bases for Polynomials Barium incorporated zirconium dioxide nanostructures synthesized by sol-gel route and investigation of their structural, thermal and spectroscopic characteristic in the stabilized tetragonal phase Magnetic survey comparison using smart phone magnetic sensor and proton precession magnetometer: A case study at Abu Marwat Concession, Eastern Desert, Egypt Generalized Complex Conformable Derivative and Integral Bases in Fréchet Spaces
×
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