Reliability analysis for accelerated life test based on Weibull distribution

被引:1
|
作者
Li L. [1 ]
Xu W. [1 ]
机构
[1] Dept. of Applied Mathematics, Northwestern Polytechnical Univ.
关键词
Accelerated life test; Confidence intervals; Likelihood estimates; Weibull distribution;
D O I
10.3969/j.issn.1001-506X.2010.07.045
中图分类号
学科分类号
摘要
In order to make inference about problems of accelerated life test plan under different experiments, a step-stress accelerated life test model of units based on Weibull lifetimes is given. For this model, the maximum likelihood estimates of the parameters in normal stress level are derived under Type-II censoring. The Newton-Raphson method is using to solve the likelihood equations, and a simplified estimator is presented, which is used as an initial estimate in the iterative process. Bootstrap confidence intervals for the parameters are provided. Some numerical results for solid tantalum electrolytic capacitor are discussed to illustrate validity of this model.
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页码:1544 / 1548
页数:4
相关论文
共 10 条
  • [1] Li X., Jiang T., Review of multiple-stress models in accelerated life testing, Systems Engineering and Electronics, 29, 5, pp. 828-831, (2007)
  • [2] 28, 6, pp. 1768-1773, (2007)
  • [3] Xiong C., Zhu K., Ji M., Analysis of a simple step-stress life test with a random stress-change time, IEEE Trans. on Reliability, 55, 4, pp. 67-74, (2006)
  • [4] Wu S.J., Lin Y.P., Chen Y.J., Planning step-stress life test with progressively type I group-censored exponential data, Statistic Neerlandica, 60, 2, pp. 46-56, (2006)
  • [5] Abd-Elfattah A.M., Estimation in step-stress partially accelerated life tests for the Burr type XII distribution using type I censoring, Statistical Methodology, 5, 6, pp. 502-514, (2008)
  • [6] Li C., Fard N., Optimum bivariate step-stress accelerated life test for censored data, IEEE Trans. on Reliability, 56, 4, pp. 77-84, (2007)
  • [7] Fard N., Li C., Optimum simple step stress accelerated life test design for reliability prediction, Journal of Statistical Planning and Inference, 139, 5, pp. 1799-1808, (2009)
  • [8] Balakrishnan N., Xie Q., Exact inference for a simple step-stress model with type I hybrid censored data from the exponential distribution, Journal of Statistical Planning and Inference, 137, 4, pp. 3268-3290, (2007)
  • [9] Balakrishnan N., Xie Q., Exact inference for a simple step-stress model with type II hybrid censored data from the exponential distribution, Journal of Statistical Planning and Inference, 137, 3, pp. 2543-2563, (2007)
  • [10] Balakrishnan N., Kundu D., Ng H.K.T., Et al., Point and interval estimation for a simple step-stress model with type II censoring, Journal of Quality Technology, 39, 1, pp. 35-47, (2007)