{"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}
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.