Estimation of the parameters of Pareto distribution and the reliability function using accelerated life testing with censoring

This paper addresses the situation where the time to failure is assumed to have a three-parameter Pareto distribution. This distribution is a mixture of two-parameter exponential distribution with scale parameter distributed as gamma distribution. The experiment is subject to type II censoring. A certain condition (stress) is assumed to affect the shape parameter of Pareto distribution, Maximum likelihood estimators (MLE) of an accelerated life-test (BLT) model are derived, Prediction of the shape parameter under usual conditions is obtained, The reliability function at a certain mission time is also predicted, A numerical example is given.