Model | Plot data only | All data | ||||||

CDF r^{2} | χ^{2} log_{2} | AIC | ∆AIC | CDF r^{2} | χ^{2} log_{2} | AIC | ∆AIC | |

Zipf-Mandelbrot | 0.929 | 54,188 | 139,822 | 25,848 | 0.447 | 73,884,947 | 7,402,206 | 330,9517 |

Weibull | 0.999 | 1.6 × 10^{10} | 127,111 | 13,137 | 0.999 | 3.01 × 10^{10} | 4,269,287 | 176,598 |

Log series | 0.991 | 1.57 × 10^{13} | 120,082 | 6109 | 0.999 | 5.08 × 10^{13} | 4,119,057 | 26,368 |

Pareto | 0.999 | 5.69 × 10^{13} | 115,244 | 1270 | 0.999 | 1.46 × 10^{13} | 4,110,900 | 18,211 |

Poisson lognormal | 0.999 | 490 | 113,974 | 0 | 0.999 | 2966 | 4,092,689 | 0 |

Pareto with finitesampleexponentialadjustment | 0.999 | 563 | 114,096 | 122 | 0.998 | 100,558 | 4,203,550 | 110,861 |