Summary (translated from the Russian): ``We describe the formalism of the statistical thermodynamics of irreversible processes constructed on the basis of Zubarev's nonequilibrium statistical operator method---a powerful and universal technique for studying the most varied physical phenomena. We present a short review of the statistical ensembles formalism and the statistical thermodynamics of irreversible processes. The first of these can be constructed either on the basis of a heuristic approach, or within the framework of information theory, following the Jeffreys-Jaynes scientific prediction scheme. Both approaches were used by Zubarev and his school in formulating the nonequilibrium statistical operator method. We describe the principal features of the statistical thermodynamics of irreversible processes and discuss particular concepts of several authors. We briefly describe a technique for deriving a thermodynamic uncertainty principle proposed by Rosenfeld, Bohr and Prigogine.''