Multiplicity distributions and H_q moments

It is argued that a multicomponent structure of $e^+e^-$ and $p\bar p$ high energy collisions determines the shapes of multiplicity distributions and oscillations of $H_q$ moments. QCD and convoluted NBD are used for comparison with experimental data. Predictions at LHC and higher energies are shown. Difference between $e^+e^-$ and $p\bar p$ is discussed.