  Charged hadron production in the $e^{+}e^{-}$ annihilations at 91 to 206 GeV
in full phase space and in $\overline{p}p$ collisions at 200 to 900~GeV
collision energies are studied using non-extensive Tsallis and stochastic
Weibull probability distributions.~The Tsallis distribution shows better
description of the data than the Weibull distribution. The 2-jet modification
of the statistical distribution is applied to describe $e^{+}e^{-}$ data.~The
main features of these distributions can be described by a two-component model
with soft, collective interactions at low transverse energy and hard,
constituent interactions dominating at high transverse energy.~This
modification is found to give much better description than a full-sample fit,
and again Tsallis function is found to better describe the data than the
Weibull one pointing at the non-extensive character of the multiparticle
production process.
