一般$delta$,-冲击模型中无失效数据的Bayes统计推断

在这篇文章中, 我们针对一般冲击模型, 研究Bayes方法处理无失效数据的问题. 所谓一般$delta$,-冲击模型是指系统受到强度为$lambda$的Poisson冲击, 当两个连续冲击之间时间间隔的长度不属于某个固定的区间[$delta_1,delta_2$]时, 系统将失效. 我们分别选择均匀分布和Beta分布作为先验分布, 用Bayes方法和多层Bayes方法得到了参数$delta_1$和$delta_2$的估计.

Bayes Statistical Inference on General $xd$-Shock Model with Zero-Failure Data

In this paper, we use Bayesian method to study the estimation problem of the parameters $xd_1$ and $xd_2$ of the $xd$-shock model associated with a Poisson process with intensity $xl$ under zero-failure data, where the system fails when the length of an interval between two success shocks does not fall in a prespecified interval $[xd_1, xd_2]$. By choosing $U(0,1)$ and a Beta distribution as the prior distribution of the parameters respectively, we obtain the Bayesian and hierarchical Bayesian estimators of threshold level $xd_1$ and $xd_2$.