  In this paper un-binned statistical tools for analyzing the cosmic ray energy
spectrum are developed and illustrated with a simulated data set. The methods
are designed to extract accurate and precise model parameter estimators in the
presence of statistical and systematic energy errors. Two robust methods are
used to test for the presence of flux suppression at the highest energies: the
Tail-Power statistic and a likelihood ratio test. Both tests give evidence of
flux suppression in the simulated data. The tools presented can be generalized
for use on any astrophysical data set where the power-law assumption is
relevant and can be used to aid observational design.
