A Simple Step-Stress Model for Coherent Systems and Associated Inference Based on System Signatures

Coherent systems are important structures in reliability. In this paper, we discuss the maximum likelihood estimates (MLEs) of model parameters of an system with known signature having an exponential component distribution based on a simple step-stress model. We also develop confidence intervals (CIs) for the model parameters. A detailed Monte Carlo study is carried out to examine the performance of the point and estimates. Finally, a data analysis is performed for illustrating all the inferential methods developed here.