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高校应用数学学报
Applied Mathematics A Journal of Chinese Universities  2016, Vol. 31 Issue (1): 1-8    DOI:
    
Statistical inference for the environment factor under exponential and Weibull series system
ZHOU Jun-xing1, YU Lie-hong2, WANG Bing-xing2
1. School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou 310018, China
2. School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China
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Abstract  The definition of the environment factor of Weibull series system is given. The point and interval estimations of the environment factor are derived when the lifetimes of units are exponential or Weibull distributions. The precision of the proposed confidence interval is studied by simulation. The simulation results show that the proposed procedure is satisfactory.

Key words： series system      environment factor      exponential distribution      Weibull distribution      generalized interval estimation     
Received: 12 October 2015      Published: 17 May 2018
CLC:  O213.2  
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ZHOU Jun-xing
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ZHOU Jun-xing, YU Lie-hong, WANG Bing-xing. Statistical inference for the environment factor under exponential and Weibull series system. Applied Mathematics A Journal of Chinese Universities, 2016, 31(1): 1-8.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2016/V31/I1/1


指数和Weibull串联系统环境因子的统计推断

给出了Weibull串联系统环境因子的定义, 且研究了元件寿命服从指数分布和Weibull分布时串联系统环境因子的点估计和区间估计, 并利用模拟方法研究了所给点估计的精度和广义置信区间的覆盖率. 模拟结果表明所给方法是令人满意的.

关键词： 串联系统,  环境因子,  指数分布,  Weibull分布,  广义区间估计 
[1] WANG Bing-xing, WU Fang-tao, ZHOU Jun-xing. Statistical analysis for the environment factor under the gamma distribution[J]. Applied Mathematics A Journal of Chinese Universities, 2017, 32(4): 493-500.
[2] HE Chao-bing. Bayesian parameter estimation of failure rate model with a change point for truncated and censored data[J]. Applied Mathematics A Journal of Chinese Universities, 2016, 31(4): 413-427.