Prediction intervals for future lifetime of three parameters Weibull observations based on generalized order statistics

In this paper, two pivotal statistics are introduced to construct prediction intervals for future lifetime of three parameters Weibull observations based on generalized order statistics, which can be widely applied in reliability theory and lifetime problems. The probability density functions as well as the explicit form of the distribution functions of our pivotal statistics are derived. Monte Carlo simulations are performed to demonstrate the efficiency of the proposed methods and a real data analysis is conducted for illustrative purposes.