Classical and bayesian inferences in step-stress partially accelerated life tests for inverse weibull distribution under type-I censoring
Citation
Akgül, F. G., Yu, K., & Şenoğlu, B. (2020). Classical and Bayesian Inferences in Step-Stress Partially Accelerated Life Tests for Inverse Weibull Distribution Under Type-I Censoring. Strength of Materials, 52 (3), 480-496. Doi: 10.1007/s11223-020-00200-y.Abstract
This paper deals with the classical and Bayesian estimations of step-stress partially accelerated life
test model under type-I censoring for the inverse Weibull lifetime distribution. In classical
estimation, the maximum likelihood estimates of the distribution parameters and the acceleration
factor were obtained. In addition, approximate confidence intervals of the parameters were
constructed based on the asymptotic distribution of the maximum likelihood estimators. Under
Bayesian inference, besides the Lindley and Tierney–Kadane approximation posterior expectation
methods, which yielded point estimates of the distribution parameters and the acceleration factors
under square error loss function, we also applied the Gibbs sampling method, in order to construct
credible intervals of these parameters together with their point estimates. Finally, Monte Carlo
simulations were conducted to compare the performances of the above estimation methods.