Research Article

Order Statistics and Benford's Law

Figure 1

All 499 999 differences of adjacent order statistics from 500 000 independent random variables from the Pareto distribution with minimum value and variance . (a) Observed digits of scaled differences of adjacent random variables versus Benford's law; (b) scaled observed minus Benford's law (cumulative distribution of base logarithms).
382948.fig.001a
(a)
382948.fig.001b
(b)