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Volume 34 Issue 09
Sep.  2008
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Journal of Beijing University of Aeronautics and Astronautics  > 2008  >  34(09): 995-998.
GAO Chao, HE Yuting, CUI Ronghong, et al. Calculation method of fracture toughness of materials at transition state[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(4): 632-640. doi: 10.13700/j.bh.1001-5965.2014.0255(in Chinese)
Citation: Yang Jun, Zhao Yu, Yu Danet al. Data analysis of reliability growth test for electronic equipments based on Fiducial inference[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(09): 995-998. (in Chinese)
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Data analysis of reliability growth test for electronic equipments based on Fiducial inference

  • 1.

    Dept. of System Engineering of Engineering Technology, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • 2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China

  • Received Date: 01 Aug 2007
  • Publish Date: 30 Sep 2008
    Abstract
  • Reliability growth is an important part of reliability engineering, but for the problem that small samples are often occurred during reliability growth test, there is almost no effective method so far. To solve this problem, fiducial inference with restricted parameter space was studied, for non-location-scale families, it was generalized by standardized likelihood, and it was pointed out that evaluation results obtained by fiducial distribution are equal to the corresponding results obtained by frequency statistics. Under the reliability growth model with monotone constraints, reliability evaluation of electronic equipments for reliability growth test was analyzed by fiducial inference with restricted parameter space, and for cases with complete failure time data or interval-censored failure time data during each stage of the reliability growth test, the upper confidence limit of failure rate for electronic equipments was given in detail.

     

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  • [1] 李新民,李国英,徐兴忠.参数受限制时的Fiducial区间及其应用[J].中国科学(A辑),2005,35(1):106-120 Li Xinmin,Li Guoying,Xu Xingzhong. Fiducial interval with restricted parameter space and its application[J].Science in China(A),2005,35(1):106-120(in Chinese) [2] 李新民,李国英,徐兴忠.限制参数空间上的Fiducial推断[J].系统科学与数学,2005,25(6):729-737 Li Xinmin,Li Guoying, Xu Xingzhong. On Fiducial inference with restricted parameter space[J].Journal of Systems Science and Mathematics Sciences, 2005,25(6):729-737(in Chinese) [3] 周源泉,翁朝曦.可靠性增长[M].北京:科学出版社,1992 Zhou Yuquan, Wong Zhaoxi. Reliability growth[M]. Beijing: Science Press,1992(in Chinese) [4] David A P, Stone M. The functional model basis of fiducial inference[J]. Ann Statist,1982,10(4):1054-1067 [5] 徐兴忠,李国英.枢轴分布族中的Fiducial推断[J].中国科学(A辑),2006,36(3):340-360 Xu Xingzhong,Li Guoying. Fiducial inference for pivotal families[J].Science in China(A),2006,36(3):340-360(in Chinese)
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