Design of Accelerated Life Testing Using Geometric Processfor Type-II Censored Pareto Failure Data

Many studies concerning accelerated life testing, the log linear link function between life and stress which is just a simple re-parameterization of the original parameter of the life distribution is used to obtain the estimates of original parameters but from the statistical point of view, it is preferable to obtain the estimates of the original parameters directly instead of developing inferences for the parameters of the log-linear link function. By using geometric process one can deal with original parameters directly in accelerated life testing. In this paper the geometric process is used to estimate the parameters of Pareto distribution with type-II censored data in constant stress accelerated life testing. Assuming that the lifetimes under increasing stress levels form a geometric process, estimates of the parameters are obtained by using the maximum likelihood method. In addition, asymptotic confidence intervals of the parameters using Fisher information matrix are also obtained. Lastly the statistical properties of estimates of the parameters considered in the present are illustrated by a Simulation study.