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逐步增加Ⅱ型截尾下指数分布恒加试验的统计分析 被引量:3

Statistical Analysis of Constant Stress Accelerated Life Testing with Exponential Distribution under Progressive Type-Ⅱ Censoring
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摘要 本文对逐步增加Ⅱ型截尾下指数分布场合恒定应力加速寿命试验进行了统计分析,得到参数的最大似然估计存在唯一的充要条件。最后通过模拟例子表明最大似然估计是有效的。 In this paper, we obtain the necessary and sufficient condition of the existence and unique- ness of maximum likelihood estimation for the constant stress accelerated life tests for the exponential distributions under progressive Type-Ⅱ censoring. We demonstrate through an simulation example that the maximum likelihood estimation is efficient
出处 《数理统计与管理》 CSSCI 北大核心 2012年第6期1022-1027,共6页 Journal of Applied Statistics and Management
基金 国家自然科学基金项目(11271136) 国家社会科学基金项目(12CGL041)
关键词 指数分布 恒加试验 逐步增加Ⅱ型截尾 最大似然估计 exponential distribution, constant stress accelerated life testing, progressive type-Ⅱ censor-ing, maximum likelihood estimation
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参考文献6

  • 1Nelson W. Accelerated life testing-step-stress models and data analysis [J]. IEEE Trans, Reliability, 1980, 29(2): 103-108.
  • 2Balakrishnan N, Aggarwala R. Progressive Censoring: Theory, Methods and Applications [M]. Boston: Birkhguser, 2000.
  • 3Ng H K T, Chan P S, and Balakrishnan N. Estimation of parameters from progressively censored data using EM algorithm [J]. Computational Statistics and Data Analysis, 2002, 39: 371-386.
  • 4Basak P, Basak I, and Balakrishnan N. Estimation for the three-parameter lognormM distribution based on progressively censored data [J]. Computational Statistics and Data Analysis, 2009, 53: 3580-3592.
  • 5Balakrishnan N, Kannan N, Lin C T, and Ng H K T. Point and Interval estimation for Gaussian distribution based on progressively type-lI censored samples [J]. IEEE Transactions on Reliability, 2003, 52: 90-95.
  • 6Thomas D R, and Wilson W M. Linear order statistic estimation for the two parameter Weibull and extreme-vMue distribution under Type-II progressively censored samples [J]. Technometrics, 1972, 14: 679-691.

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