Bayesian life test planning for the Weibull distribution with given shape parameter
Bayesian life test planning for the Weibull distribution with given shape parameter
复制标题
DOI：
10.1007/s001840400334
复制
发表时间：
2005-06-01
期刊：
影响因子：
0.7
通讯作者：
Meeker, WQ
中科院分区：
文献类型：
--
作者：
Zhang, Y;Meeker, WQ
本文讨论了威布尔分布中截尾数据为II型时，当威布尔形状参数已知时，寿命试验计划的贝叶斯方法。我们使用共轭先验分布和基于估计寿命分布的感兴趣分位数的标准。一种标准是基于分布分位数的可信度区间的精度因子，另一种是基于可信度区间的长度。我们给出了所需失败次数与精度准则之间关系的简单封闭形式表达式。并用实例说明了计算结果。
This paper describes Bayesian methods for life test planning with Type II censored data from a Weibull distribution, when the Weibull shape parameter is given. We use conjugate prior distributions and criteria based on estimating a quantile of interest of the lifetime distribution. One criterion is based on a precision factor for a credibility interval for a distribution quantile and the other is based on the length of the credibility interval. We provide simple closed form expressions for the relationship between the needed number of failures and the precision criteria. Examples are used to illustrate the results.