Statistical Inference for Two Gumbel Type-II Distributions under Joint Type-II Censoring Scheme

Comparative lifetime tests are extremely significant when the experimenters study reliability of comparative advantages two products in competition. Considering joint type-II censoring, we deal with inference product lines conform to Gumbel distributions. The maximum likelihood estimations population parameters were obtained current research. An approximate confidence interval and a simultaneous based on Fisher information matrix also constructed compared bootstrap intervals. Moreover, evaluate influence prior information, concept importance sampling, calculated Bayesian estimator together their posterior risks case gamma non-informative priors under different loss functions. To compare performances overall parameters’ estimator, Monte Carlo simulation was performed using numerical graphical methods. Finally, real data analysis conducted verify accuracy all models methods mentioned.