Estimations of stress-strength reliability of Burr XII distribution under accelerated life test model

In this paper, we estimate the parameter of stress-strength reliability (R=P(X <Y)) of two independent random variables X and Y, X denote to stress, Y denote to strength and have Burr XII distributions. Based on the assumption of strength and stress variables are subjected to partially step-stress accelerated life test the reliability of a system is discussed. The point estimate of R is computes with maximum likelihood and Bayes estimations. Also, confidence intervals of R are computed with asymptotic distribution, bootstrap technique and Bayesian credible intervals. The reliability of the system under R is computed with respected to numerical example. The results are assessed and compared by constructed Monte Carlo simulation study.