Table 2.

Burst size CDF model-likelihood tests

InfantPower law pPower law with cut-offLog-normalStretched exponentialDistribution
LLRpLLRpLLRp
10−56.20−24.21.6 × 10−6−28.65.0 × 10−7Power law with cut-off
20.16−0.1570.57−0.1120.79−0.02820.97Power law
30−24.33.2 × 10−12−19.56.8 × 10−5−21.63.5 × 10−5Power law with cut-off
40−31.81.4 × 10−15−29.45.1 × 10−7−31.91.8 × 10−7Power law with cut-off/stretched exponential
50.80−6.34 × 10−30.91−0.7460.110.2070.50Power law
60.030−9.052.1 × 10−5−0.1830.681.250.49Power law with cut-off
70−2880−2012.2 × 10−39−2191.2 × 10−42Power law with cut-off
80.034−23.48.2 × 10−12−4.280.035−4.810.039Power law with cut-off
90.60−6.48 × 10−30.91−0.3930.180.2620.44Power law
100.028−18.61.0 × 10−9−3.490.049−3.960.048Power law with cut-off
110−65.90−26.17.8 × 10−7−29.53.8 × 10−7Power law with cut-off
120−45.70−16.82.7 × 10−5−19.51.4 × 10−5Power law with cut-off
130.035−15.62.4 × 10−8−6.040.016−6.730.014Power law with cut-off
  • Corresponding fits and data in Figure 4. Negative log-likelihood ratio (LLR) values favor that specific column's distribution compared with a power-law distribution fit; e.g., for subject 1, an LLR of −56.2 favors a power law with exponential cut-off. For the power law column, p value is for the hypothesis that the power-law distribution is a plausible fit. For the other distribution columns, p value is for the hypothesis that the corresponding LLR is zero. For subject 4, both power law with exponential cut-off and stretched exponential are favored, with the hypothesis test unable to decide between these.