  It is demonstrated that any statistics can be represented by an attractor of
the solution to a corresponding systen of ODE coupled with its Liouville
equation. Such a non-Newtonian representation allows one to reduce foundations
of statistics to better established foundations of ODE. In addition to that,
evolution to the attractor reveals possible micro-mechanisms driving random
events to the final distribution of the corresponding statistical law. Special
attention is concentrated upon the power law and its dynamical interpretation:
it is demonstrated that the underlying dynamics supports a " violent
reputation" of the power law statistics.
