  To describe the nonequilibrium states of a system we introduce a new
thermodynamic parameter - the lifetime of a system. The statistical
distributions which can be obtained out of the mesoscopic description
characterizing the behaviour of a system by specifying the stochastic processes
are written. Superstatistics, introduced in [1] as fluctuating quantities of
intensive thermodynamical parameters, are obtained from statistical
distribution with lifetime (random time to system degeneracy) as
thermodynamical parameter (and also generalization of superstatistics).
Necessary for this realization condition with expression for average lifetime
of equilibrium statistical system obtained from stochastical storage model [25]
is consist. The obtained distribution passes in Gibbs or in superstatistics
distribution depending on a measure of dissipativity in the system.
