  We investigate the statistical nature of the dark matter particles produced
in bouncing cosmology, especially, the evolution of its thermal fluctuations.
By explicitly deriving and solving the equation of motion of super-horizon
mode, we fully determine the evolution of thermal perturbation of dark matter
in a generic bouncing background. And we also show that the evolution of
super-horizon modes is stable and will not ruin the background evolution of a
generic bouncing universe till the Planck scale. Given no super-horizon thermal
perturbation of dark matter appears in standard inflation scenario such as
WIMP(-less) miracles, such super-horizon thermal perturbation of dark matter
generated during the generic bouncing universe scenario may be significant for
testing and distinguishing these two scenario in near future.
