Abstract:
The reliability of the multicomponent stress–strength system was investigated under
the two-parameter Burr X distribution model. Based on the structure of the system, the type II
censored sample of strength and random sample of stress were obtained for the study. The maximum
likelihood estimators were established by utilizing the type II censored Burr X distributed strength
and complete random stress data sets collected from the multicomponent system. Two related
approximate confidence intervals were achieved by utilizing the delta method under the asymptotic
normal distribution theory and parametric bootstrap procedure. Meanwhile, point and confidence
interval estimators based on alternative generalized pivotal quantities were derived. Furthermore, a
likelihood ratio test to infer the equality of both scalar parameters is provided. Finally, a practical
example is provided for illustration.
