  A family of nonequilibrium statistical operators (NSO) is introduced which
differ by the system lifetime distribution over which the quasiequilibrium
distribution is averaged. This changes the form of the source in the Liouville
equation, as well as the expressions for the kinetic coefficients, average
fluxes, and kinetic equations obtained with use of NSO. The difference from the
Zubarev form of NSO is of the order of the reciprocal lifetime of a system.
