Estimation of Weibull Parameters In Accelerated Life Testing Using Geometric Process With Type-Ii Censored Data

In Accelerated life testing (ALT), generally, the log linear function between life and stress is used to obtain the estimates of original parameters of the life. The log linear is just a simple re-parameterization of the original parameter and hard to use in mathematical calculations. From statistical point of view, it is preferable to work with the original parameters instead of developing inferences for the parameters of the log-linear link function. In this situation, the use of geometric process may be a good alternative in accelerated life testing to obtain the original parameter of life distribution directly. In this paper, the maximum likelihood estimates of the parameters of Weibull distribution with type-II censored data by assuming that the lifetimes under increasing stress levels in accelerated life testing form a geometric process are obtained. In addition, by using Fisher information matrix the asymptotic confidence intervals are also constructed for the parameters. Lastly a Simulation study is performed to check the statistical properties of estimates and the confidence intervals.