Lotka's Inverse Power Law Model

Lotka's Law models the proportion of authors f(n) who publish exactly n articles as:

f(n) = C / n^β

Kolmogorov-Smirnov Goodness-of-Fit Tests

Test 1: Empirical vs Theoretical (β = 2)

The empirical distribution deviates significantly from the theoretical Lotka's Law (β=2) (p = 0.0127)

Test 2: Empirical vs Fitted (β = 2.71)

The empirical distribution is consistent with the fitted model (β=2.71) (p = 0.415)

H0: The empirical distribution follows the theoretical distribution. A p-value ≥ 0.05 indicates no significant deviation.

Plot Legend