Cumulative energy distribution functions. Gray solid curves show the cumulative distributions derived from the 1000 catalog realizations, and the blue solid curve shows their median. α denotes the slope of the power-law energy probability density function, ψ ∝ E^−α. Dashed lines show piecewise power-law fits to the cumulative distribution, with different segments indicated by different colors. Gray points show results from the unweighted original C⁻ estimator with the original catalog fluence, which yields a shallower slope.