A quantum-statistical approach involving the coherency phenomena is applied to electronpositron annihilations (in the c.m.-system energy range 4 5 W ( 34 GeV) and muon-proton collisions ( 4 5 W<20 GeV). It is found that in both cases a new (energy-independent) multiplicity scaling distribution (with the same value of the only one parameter in its functional form) is sufficiently accurate for the data on charged multiplicities and on the corresponding statistical moments. At higher energies, the multiplicity distributions as well as the values of several statistical moments are predicted.