Fitted parameters and p-value of the goodness-of-fit for power law (PL) and power law with cutoff (PLwC), and Yule-Simon (Y-S) distributions on the synthetic histograms of Figure 8. None of the goodness-of-fit tests are conclusive, but the values of the fitted parameters are very similar to what is observed in actual data.
| . | PL . | PLwC . | Y-S . | ||||
|---|---|---|---|---|---|---|---|
| α . | p (%) . | β . | γ . | p (%) . | ρ . | p (%) . | |
| Ny = 50 | 2.05 | 0.0 | 1.94 | 0.013 | 0.0 | 2.44 | 0.2 |
| Ny = 100 | 2.12 | 0.0 | 2.03 | 0.01 | 0.0 | 2.58 | 0.0 |
| Ny = 150 | 2.12 | 0.0 | 2.01 | 0.02 | 0.0 | 2.58 | 0.06 |
| . | PL . | PLwC . | Y-S . | ||||
|---|---|---|---|---|---|---|---|
| α . | p (%) . | β . | γ . | p (%) . | ρ . | p (%) . | |
| Ny = 50 | 2.05 | 0.0 | 1.94 | 0.013 | 0.0 | 2.44 | 0.2 |
| Ny = 100 | 2.12 | 0.0 | 2.03 | 0.01 | 0.0 | 2.58 | 0.0 |
| Ny = 150 | 2.12 | 0.0 | 2.01 | 0.02 | 0.0 | 2.58 | 0.06 |