Cumulative distributions of the fractional dust luminosities; the blue line corresponds to the observations and the red lines are eight independent simulations computed with the same parameters M_mid, R1, R2, and D_c, but with different random numbers to simulate the disk population around the A stars of the Su et al. (2006) survey. The statistical Kolmogorov-Smirnov test is used to match the observed and simulated distributions so they can be considered drawn from the same parent distribution. The maximum K-S probability is 75% in this example, averaged over 100 simulations. For clarity, only eight simulations are shown on this figure but 100 were actually computed at each point of the 4D parameter space (M_mid, R1, R2, D_c) for our numerical search.