Contemporary transition description, in the nearest neighbors frame, a
llows a more complete and rigorous treatment of the kinetics of a syst
em of identical particles obeying an exclusion-inclusion principle tha
n the only individual transition approximation. Within this descriptio
n, statistical distributions are derived, as stationary states of a ge
neralized non linear Fokker-Planck equation, and collective quantum ma
croscopic effects for both bosons and fermions can be evidentiated in
a more precise form and with a more appropriate meaning than in the in
dividual transition approximation.