基于一次性设备指数分布简单步加试验的统计分析  

The Statistic Analysis of the Simple SSALT Based on the Exponential Distribution of Disposable Equipment

作　　者：李晓晓[1] LI Xiaoxiao(College of Mathematics and Information Science, Wenzhou University, Wenzhou, China 32503)

机构地区：[1]温州大学数学与信息科学学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2017年第2期8-15,共8页Journal of Wenzhou University(Natural Science Edition)

基　　金：国家自然科学基金(11201345)

摘　　要：一次性设备不能重复使用,不能通过试验观测到其真实的寿命,只能观测到寿命区间.为了在短时间内获得更多的寿命信息,对寿命服从指数分布的一次性设备进行了简单的步加试验.引进EM算法,解决了矩估计、极大似然估计等传统的统计方法估计参数比较困难的问题.It is well-known that the disposable equipment cannot be reused and its true life span cannot be observed through experiments except for its lifetime section. In order to gain more lifetime information in a short time, a simple step-stress accelerated life-test （SSALT） is undertaken in the experiment towards disposable equipment of the lifetime exponential distribution. Whereby the EM-algorithm is introduced to estimate the parameters of the model. This method turns out to be better than the traditional statistical methods like moment estimation and maximum likelihood estimation to solve the above problem.

关 键 词：一次性设备 EM算法 指数分布 步加试验 

分 类 号：O213.2[理学—概率论与数理统计]