  Although the existence of cosmic rays with energies extending well above
$10^{19}$ eV has been confirmed, their origin remains one of the most important
questions in astro-particle physics today. Several source models have been
proposed for the observed set of Ultra High Energy Cosmic Rays (UHECRs). Yet
none of these models have been conclusively identified as corresponding with
all of the available data. One possible way of achieving a global test of
anisotropy is through the measurement of the information dimension, $D_{\rm
I}$, of the arrival directions of a sample of events. $D_{\rm I}$ is a measure
of the intrinsic heterogeneity of a data sample. We will show how this method
can be used to take into account the extreme asymmetric angular resolution and
the highly irregular aperture of a monocular air-fluorescence detector. We will
then use a simulated, isotropic event sample to show how this method can be
used to place upper limits on any number of source models with no statistical
penalty.
