Fig. 13
From: TINNiK: inference of the tree of blobs of a species network under the coalescent model

Cumulative distributions of p-values computed from simulations, for the distribution of the likelihood ratio statistic given in Proposition 6 using maximum likelihood estimates of \(\phi _0\) (red), and for the \(\chi _{1}^2\) distribution (blue) for sample size \(n=10^6\). The cdf plots are indistinguishable for \(|\mu _0|\) large. The diagonal line represents ideal behavior. At and near the model singularity, \(\mu _0 = 0\), the distribution of Theorem 6 performs better than a \(\chi ^2_1\)