In this paper, asymptotic normal, approximate F-based and (Formula presented.) bootstrap inferences are proposed for the stress-strength reliability model (Formula presented.) with the assumption that both samples from the two-parameter Burr type X distribution under Type I and Type II censoring. A simulation study is carried out. There is no clear winner among these methods, asymptotic normal and approximate F-based inference work well for the heavy censoring case when R is small, while (Formula presented.) bootstrap inference could a good choice when R is large.
|Journal||Communications in Statistics: Simulation and Computation|
|State||Accepted/In press - 2021|
- Stress-strength reliability
- Two-parameter Burr type X
- Type I censoring
- Type II censoring