Estimation in constant-stress accelerated life testing for Birnbaum-Saunders distribution under censoring

Accelerated life testing is a method for estimating the reliability of products atnormal use conditions from the failure data obtained at the severe conditions. In thispaper, constant-stress accelerated life testing is considered when the lifetime of aproduct follows a two- parameter Birnbaum-Saunders distribution. Based on type-IIcensoring. A certain conditions (stress) are assumed to affect the scale parameterthrough the inverse power law model. Maximum likelihood estimators (MLEs) of anaccelerated life tests model are derived. Prediction of the scale parameter under usualconditions is obtained. Moreover, the reliability function at a certain mission timeunder the same conditions is also predicted. Simulation results are carried out to studythe precision of the MLEs for the parameters involved.