Stress–Strength Inference on the Multicomponent Model Based on Generalized Exponential Distributions under Type-I Hybrid Censoring

The stress–strength analysis is investigated for a multicomponent system, where all strength variables of components follow generalized exponential distribution and are subject to the distributed stress. estimation methods maximum likelihood Bayesian utilized infer system reliability. For method, informative non-informative priors combined with three loss functions considered. Because computational difficulty on working posteriors, Markov chain Monte Carlo method adopted obtain approximation reliability estimator posterior. In addition, bootstrap highest probability density interval used confidence intervals. simulation study shows that Bayes prior superior other competitors. Finally, two real examples given illustrate proposed methods.