  We define the empiric stochastic stability of an invariant measure in the
finite-time scenario, the classical definition of stochastic stability. We
prove that an invariant measure of a continuous system is empirically
stochastically stable if and only if it is physical. We also define the empiric
stochastic stability of a weak*-compact set of invariant measures instead of a
single measure. Even when the system has not physical measures it still has
minimal empirically stochastically stable sets of measures. We prove that such
sets are necessarily composed by pseudo-physical measures. Finally, we apply
the results to the one-dimensional C1-expanding case to conclude that the
measures of empirically stochastically sets satisfy Pesin Entropy Formula.
