Table 2. MLE fits to speeds and normalized speeds (N = 159,746).
The lognormal distribution has the most negative log-likelihoods and AICc score and therefore is the best fit. The parameters selected by MLE are shown for each distribution. See S1 and S2 Tables for other distribution fits and goodness of fit statistics.
| Speeds | ||||
| Distribution | Negative log Likelihood×105 | AICc×105 | MLE Parameters | |
| Lognormal | -1.84 | -3.68 | μ = -2.5027 | σ = 0.9329 |
| Gaussian | -1.61 | -3.23 | μ = 0.1161 | σ = 0.0881 |
| Maxwell | -1.12 | -2.24 | a = 0.0071 | |
| Power Law (Levy) | 0.122 | 0.245 | μ = 1.2069 | |
| Normalized Speeds (speed/track mean speed) | ||||
| Lognormal | 1.22 | 2.45 | μ = -0.1669 | σ = 0.6154 |
| Gaussian | 1.37 | 2.74 | μ = 1 | σ = 0.5706 |
| Maxwell | 1.32 | 2.65 | a = 0.4414 | |
| Power Law (Levy) | 3.58 | 7.16 | μ = 1.2446 | |