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对数正态分布无失效数据的Bayes统计分析
引用本文:王浩华,何秀丽.对数正态分布无失效数据的Bayes统计分析[J].海南大学学报(自然科学版),2008,26(3):231-235.
作者姓名:王浩华  何秀丽
作者单位:1. 海南大学,信息科学技术学院,海南,海口,570228
2. 河海大学,理学院,江苏,南京,210098
摘    要:利用对数正态分布的性质,从失效概率在时间相差较小的情况下应具有时间的连续性出发,讨论了检验时刻失效概率的分层Bayes估计,进而利用分布函数曲线拟和方法得到了母体参数的线性回归估计,并结合实际问题进行了计算.

关 键 词:对数正态分布  无失效数据  分层Bayes估计  时间连续性  失效概率

A Bayesian Statistic Analysis for the Lognormal Distribution in the Case of Zero Failure Data
WANG Hao-hua,HE Xiu-li.A Bayesian Statistic Analysis for the Lognormal Distribution in the Case of Zero Failure Data[J].Natural Science Journal of Hainan University,2008,26(3):231-235.
Authors:WANG Hao-hua  HE Xiu-li
Institution:WANG Hao-hua, HE Xiu-li ( 1. College of Information Science and Technology , Hainan University, Haiko 570228, China; 2. Department of Mathematics and Physics, Hohai University, Nanjing 210098 ,China)
Abstract:Using properties of the lognormal distribution function and the failure probability with the properties of time continuity in a min time, this paper firstly discusses the failure probability of zierachical Bayesian estimator in time. And then, the linear regression estimators of the unknown parameters are given by employing the method of distribution curve fitting and the calculation of a practical problem is illustrated.
Keywords:lognormal distribution  zero failure data  zierachical Bayesian estimator  time concatenation  failure probability
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