Power analysis
First,consider the relationship between the alternative distribution, Weibull(1,0.50) and the simulated power.
Figure 1 summarizes the power analysis for the Weibull(1,0.50) alternative distribution.
The PML-test outperformed the power for all other four exponentiality tests across all significance levels and sample sizes. The power of all four exponentiality tests exceeded the LF-test. The VS-test, the D-test, and the S-test showed similar performance in power. It appears that for sample sizes 40 or more, the powers for all five exponentiality tests close to 1