  Multiparticle production processes provide valuable information about the
mechanism of the conversion of the initial energy of projectiles into a number
of secondaries by measuring their multiplicity distributions and their
distributions in phase space. They therefore serve as a reference point for
more involved measurements. Distributions in phase space are usually
investigated using the statistical approach, very successful in general but
failing in cases of small colliding systems, small multiplicities, and at the
edges of the allowed phase space, in which cases the underlying dynamical
effects competing with the statistical distributions take over. We discuss an
alternative approach, which applies to the whole phase space without detailed
knowledge of dynamics. It is based on a modification of the usual statistics by
generalizing it to a superstatistical form. We stress particularly the scaling
and self-similar properties of such an approach manifesting themselves as the
phenomena of the log-periodic oscillations and oscillations of temperature
caused by sound waves in hadronic matter. Concerning the multiplicity
distributions we discuss in detail the phenomenon of the oscillatory behaviour
of the modified combinants apparently observed in experimental data.
