中文摘要：

假设某些产品寿命服从指数分布,对维修纪录数据进行了统计分析,并考虑了总体样本容量未知的情形.给出了分布的参数估计以及总体样本容量的估计,并获得了估计的强收敛速度以及均方收敛速度,还考虑了一些可靠性指标的估计.最后给出了蒙特卡罗模拟,来验证估计的方法的可行性与有效性.

英文摘要：

Based on the assumption that products＇ lives follow exponential distribution, the maintenance records were analyzed with the consideration that the overall sample number is unknown. The estimators of parameters in distribution and overall sample number were given, and the strong convergence rate and mean square convergence rate of estimators were obtained. Some estimations of indicators of reliability were also obtained. Finally, the Monte-Carlo simulation was carried out to prove the feasibility and validity of the proposed ways of estimation.