混合区间删失下逆指数瑞利分布的可靠性分析

Reliability Analysis of Inverted Exponentiated Rayleigh Distribution under Hybrid Interval Censoring

基于混合区间删失试验样本数据,研究逆指数瑞利分布的可靠性分析问题。首先,运用极大似然估计法给出混合区间删失试验下逆指数瑞利分布参数及可靠性指标的极大似然估计;其次,运用渐近正态理论给出参数及可靠性指标的渐近置信区间。最后,运用蒙特卡洛方法模拟样本计算给出参数及可靠性指标的平均相对误差(ARE)、均方误差(MSE)和平均区间长度(AL),并讨论不同样本量下混合区间删失试验参数估计值与定时截尾试验参数估计值对精度的影响。

Based on the hybrid interval censoring test sample data,the reliability analysis problem of inverted exponential Rayleigh distribution is studied.Firstly,the maximum likelihood estimation method is used to give the maximum likelihood estimation of inverted exponential Rayleigh distribution parameters and reliability index under the hybrid interval censoring test.Secondly,it uses asymptotic normal theory to provide Asymptotic Confidence Intervals for parameters and reliability index.Finally,the Monte Carlo method is used to simulate sample calculations to obtain ARE,MSE and AL of parameters and reliability index.The impact of hybrid interval censoring test parameter estimates and timed truncation test parameter estimates on accuracy under different sample sizes is discussed.