Estimation of Stress-Strength Reliability of Power Distribution under Type-II Censored Data

In the statistical literature, there are many lifetime distributions used in reliability analysis, including exponential, normal, gamma, and Weibull distributions. Power distribution is also useful in many scientific contexts, with significant consequences for our understanding of natural and manmade phenomena. This expository paper presents the evaluation of reliability when stress and strength follow power distribution with a common scale and different shape parameters. We obtain maximum likelihood (ML) estimates of stress-strength reliability with their confidence intervals. Furthermore, to compare the performance of various procedures, we apply statistical simulation. Finally, an analysis of a real dataset is given for illustrative purposes.