On a Generalized Model in Accelerated Life Testing

• 作者: Adolfo M. De Guzman Eduardo L. Cruz
• 来源期刊: 统计学期刊(英文)
• 学科: 数学
• 关键词: ACCELERATED LIFE TEST ARRHENIUS Model INVERSE PROBLEM
• 年，卷（期）: 2012,（2）
• 页码范围: 184-187
• 页数: 4页
• 分类号: O1

摘要

The main objective of accelerated life tests in this setting is the recovery of the distribution of the random variable representing lifetime which is difficult to observe at a certain level of a given stress factor. A general model for accelerated life test is proposed that utilizes the inverse problem approach, that is, the variable is observe at different level/s and the transfer function is used to recover the elusive random variable (life time). The problem then is reduced to finding the transfer function. We derive some properties of the proposed general model. The Lognormal distribution and the Arrhenius model for lifetime are used as examples. Its relationship with the Cox proportional hazards model is also discussed.