Distribution of the test statistics, T _ED (left two plots) and T _NP (right two plots), under the null hypothesis, ﹩{{ \mathcal H }}_{0}﹩, and alternative hypothesis, ﹩{{ \mathcal H }}_{1}﹩, for the optimistic scenario with and without whitening. A P _FA = 0.00135 corresponding to a 3σ detection is assumed. The empirical results are calculated for a sample of 500 simulated observations of our target system. The bootstrapped results are sampled from a multivariate normal distribution following the considered instrumental error covariance, Σ _ref.