指数分布下基于分组数据加速寿命试验的统计分析

发布时间：2018-05-25 15:19

本文选题：指数分布 + 分组数据　；参考：《兰州大学》2017年硕士论文

【摘要】：加速寿命试验是评定高寿命产品可靠性的一种重要的试验方法,指数分布是最常见的寿命分布之一。由于观测时间的不连续性及观测总时间成本的限制等原因所致,无法精确的观测到产品的实际失效时间,只能观测到某个区间内产品的失效个数。本文在指数分布下讨论了基于分组数据的步进应力加速寿命试验的参数估计,进而计算出产品在正常应力下的平均寿命。本文第一部分介绍了加速寿命试验的相关内容。第二部分给出了指数分布在分组数据下的步加试验的参数估计。第三部分给出了在等间隔情形下指数分布基于多个分组数据加速寿命方程中参数估计的显性表达式,对于不等间隔的情形,给出了参数的隐式关系式。针对本文介绍的估计参数的方法还给出了数据模拟,结果表明这些方法是可行的。
[Abstract]:Accelerated life test is an important test method for evaluating the reliability of high life products, and exponential distribution is one of the most common life distributions. Because of the discontinuity of the observation time and the limitation of the total time cost of observation, it is impossible to accurately observe the actual failure time of the product, but only to observe the number of the products' failure in a certain interval. In this paper, the parameter estimation of step stress accelerated life test based on grouped data is discussed under exponential distribution, and the average life of products under normal stress is calculated. The first part of this paper introduces the related contents of accelerated life test. In the second part, the parameter estimation of step addition test with exponential distribution under grouped data is given. In the third part, the explicit expression of parameter estimation for exponential distribution based on multiple packet data accelerated life equation is given in the case of equal interval. For the case of unequal interval, the implicit expression of parameter is given. The methods of parameter estimation are also simulated, and the results show that these methods are feasible.
【学位授予单位】：兰州大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O213.2

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