Hypothesis testing for reliability with a three-parameter Weibull distribution using minimum weighted relative entropy norm and bootstrap
With the help of relative entropy theory,norm theory,and bootstrap methodology,a new hypothesis testing method is proposed to verify reliability with a three-parameter Weibull distribution.Based on the relative difference information of the experimental value vector to the theoretical value vector o...
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| Veröffentlicht in: | Frontiers of information technology & electronic engineering 2013-02, Vol.14 (2), p.143-154 |
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| container_title | Frontiers of information technology & electronic engineering |
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| creator | Xia, Xin-tao Jin, Yin-ping Xu, Yong-zhi Shang, Yan-tao Chen, Long |
| description | With the help of relative entropy theory,norm theory,and bootstrap methodology,a new hypothesis testing method is proposed to verify reliability with a three-parameter Weibull distribution.Based on the relative difference information of the experimental value vector to the theoretical value vector of reliability,six criteria of the minimum weighted relative entropy norm are established to extract the optimal information vector of the Weibull parameters in the reliability experiment of product lifetime.The rejection region used in the hypothesis testing is deduced via the area of intersection set of the estimated truth-value function and its confidence interval function of the three-parameter Weibull distribution.The case studies of simulation lifetime,helicopter component failure,and ceramic material failure indicate that the proposed method is able to reflect the practical situation of the reliability experiment. |
| doi_str_mv | 10.1631/jzus.C12a0241 |
| format | Article |
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| subjects | Communications Engineering Computer Hardware Computer Science Computer Systems Organization and Communication Networks Confidence intervals Electrical Engineering Electronics and Microelectronics Entropy Failure Helicopters Hypotheses Instrumentation Materials failure Mathematical analysis Networks Norms Parameters Product life cycle Reliability Service life assessment Statistical analysis Vectors (mathematics) Weibull distribution 学术论文 期刊 编辑工作 英文摘要 |
| title | Hypothesis testing for reliability with a three-parameter Weibull distribution using minimum weighted relative entropy norm and bootstrap |
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