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基于Weibull分布的无失效数据分析
引用本文:郭念国.基于Weibull分布的无失效数据分析[J].河南教育学院学报(自然科学版),2008,17(3):1-4.
作者姓名:郭念国
作者单位:河南工业大学理学院,河南郑州,450001
摘    要:在尺度参数为a、形状参数为β的条件下,给出了Weibull分布场合下无失效数据的一种推断方法,并对一组无失效数据进行了统计分析.该方法根据指数分布函数的凸性性质,给出了备检测时刻失效概率pi(i=1,2,…,m)的相互关系,作为先验信息,得到pi的Bayes估计,进而给出母体参数的估计及可靠性指标.

关 键 词:无失效数据  可靠性  WEIBULL分布  BAYES估计

Analysis About Zero-Failure Data with Weibull Distribution
GUO Nianguo.Analysis About Zero-Failure Data with Weibull Distribution[J].Journal of Henan Education Institute(Natural Science Edition),2008,17(3):1-4.
Authors:GUO Nianguo
Institution:GUO Nianguo ( College of Science, Henan University of Technology, Zhengzhou 450001, China)
Abstract:Gives a method to deduce zero-failure data in Weibull distribution, with α as scale parameter and β as shape parameter, and analyzes one group of zero-failure statistically. According to the convexity property of index distribution function, the method shows the relationship of fail-probability pi (i = 1,2,…, m) at different time, as priori information to obtain the Bayesian estimation about pi. Further, presents the estimation about population parameters and mark of reliability.
Keywords:zero-failure data  reliability  Weibull distribution  Bayesian estimation
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