**A new statistical distribution, PEVD, precisely fits the distributions of
simulated profile similarity scores:**
An example of fitting a simulated
score distribution of 1e6 scores with Gumbel extreme value distribution
(EVD) and with PEVD. The distribution's tail is shown in a logarithmic
scale. Inset: full plot in a linear scale. Below: Histograms of the
chi-square-goodness-of-fit P-values for multiple individual distributions.
P-values for EVD are mostly low; P-value histogram for PEVD is close to
the ideally expected uniform distribution.