Statistical inference for a lognormal step-stress model with Type-I censoring

淡江大學機構典藏 > 理學院 > 數學學系暨研究所 > 期刊論文 > Item 987654321/77038

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题名:	Statistical inference for a lognormal step-stress model with Type-I censoring
作者:	Lin, Chien-tai;Chou, Cheng-chieh
贡献者:	淡江大學數學學系
关键词:	Stress;Maximum likelihood estimation;Convergence;Mathematical model;Data models;Simulated annealing;Algorithm design and analysis
日期:	2012-06
上传时间:	2012-05-24 11:05:42 (UTC+8)
出版者:	Piscataway: Institute of Electrical and Electronics Engineers
摘要:	We consider a k-step step-stress model under Type-I censoring. We obtain the maximum likelihood estimates (MLE) of the parameters assuming a cumulative exposure model with lifetimes being lognormal distributed. A two-stage algorithm integrating a modified simulated annealing algorithm with a Newton-Raphson method is proposed to compute the MLE of the parameters. We also derive the confidence intervals for the parameters using asymptotic distributions, a likelihood ratio test, and parametric bootstrap resampling methods. The performance of the point and interval estimation of the parameters are evaluated through a Monte Carlo simulation study.
關聯:	IEEE Transactions on Reliability 61(2), p.361-377
DOI:	10.1109/TR.2012.2194178
显示于类别:	[數學學系暨研究所] 期刊論文

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