Constant Stress Accelerated Life Testing Using Rayleigh Geometric Process Model

The current study introduces the Rayleigh geometric process model for the analysis of accelerated life testing under constant stress. The geometric process describes a simple monotone process and has been applied to a variety of situations such as the maintenance problems in engineering. By assuming that the lifetime under increasing stress levels forms a geometric process, we derive the maximum likelihood estimators of the Rayleigh parameter in case of complete and censored data. For each type, we also derive confidence intervals for the parameters using asymptotic distribution. The performance of the estimators is evaluated by a simulation study with different pre-fixed parameters.