混合区间删失下指数分布的可靠性分析

Reliability Analysis of Exponential Distribution Under Hybrid Interval Censoring

在混合区间删失试验下,研究了指数分布的可靠性问题.给出了指数分布的参数在混合区间删失试验下的极大似然估计(maximum likelihood estimate,MLE)和渐近置信区间(asymptotic confidence interval,ACI).利用Monte Carlo方法对混合区间删失试验和定时截尾试验下的参数估计和可靠度函数的估计进行模拟比较.算例分析结果表明,基于混合区间删失样本场合所得到的估计值与定时截尾样本下的估计值相比较,具有更高的精度.

The reliability of exponential distribution is studied under hybrid interval censoring test.The maximum likelihood estimate(MLE)and asymptotic confidence interval(ACI)of the exponential distribution parameters under the hybrid interval censoring test are given.Monte Carlo method is used for the simulated comparison of the parameter estimation and reliability function estimation under hybrid interval censoring test and type-I censoring test.The results of the example analysis show that the estimated value based on hybrid interval censoring sample is more accurate than the estimated value based on type-I censoring sample.