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    請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/77038

    題名: Statistical inference for a lognormal step-stress model with Type-I censoring
    作者: Lin, Chien-tai;Chou, Cheng-chieh
    貢獻者: 淡江大學數學學系
    關鍵詞: Accelerated life test;Fisher information matrix;bootstrap;cumulative exposure model;maximum likelihood method;simulated annealing algorithm
    日期: 2012-06-01
    上傳時間: 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), pp.361-377
    DOI: 10.1109/TR.2012.2194178
    顯示於類別:[數學學系暨研究所] 期刊論文


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