摘要
针对威布尔分布无失效数据场合下的失效概率估计问题进行了研究,根据形状参数m的不同情况,给出各个时刻失效概率p_i的取值范围,以此作为先验信息,并采用多层Bayes方法对失效概率p_i进行估计。最后进行了算例分析,对多种方法进行拟合的误差平方和进行比较。结果表明,本文所提出的方法提高了失效概率的估计精度。
Based on weibull distribution of zero-ailure data,according to the different conditions of shape parameters,the value range of failure probability at each moment is given,which is taken as prior information,and the multilayer Bayesian method is used to estimate the failure probability.Finally,an example is given to compare the error sum of squares of various fitting methods.The results show that the proposed method improves the estimation accuracy of failure probability.
作者
谢金梅
程绩
李云飞
XIE Jinmei;CHENG Ji;LI Yunfei(School of Mathematics and Information,China West Normal University,Nanchong Sichuan 637009,China)
出处
《西华师范大学学报（自然科学版）》
2020年第3期275-280,共6页
Journal of China West Normal University(Natural Sciences)
基金
西华师范大学英才科研基金项目(17YC381)。
关键词
无失效数据
威布尔分布
失效概率
多层贝叶斯估计
zero-failure data
Weibull distribution
failure probability
multi-layer Bayesian estimation
