Optimal Plan of Multi-Stress–Strength Reliability Bayesian and Non-Bayesian Methods for the Alpha Power Exponential Model Using Progressive First Failure

It is extremely frequent for systems to fail in their demanding operating environments many real-world contexts. When reach lowest, highest, or both extreme conditions, they usually perform intended functions, which something that researchers pay little attention to. The goal of this paper develop inference multi-reliability using unit alpha power exponential distributions stress–strength variables based on the progressive first failure. As a result, problem estimating function R, where X, Y, and Z come from three separate distributions, addressed paper. conventional methods, such as maximum likelihood point estimation, Bayesian asymptotic confidence, boot-p, boot-t methods interval are also examined. Various confidence intervals have been obtained. Monte Carlo simulations application examples used evaluate compare performance various proposed estimators.