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Random processes are considered as an important component of macroeconomic dynamics, which explains the catastrophic nature of crisis phenomena in the world economy, which is characterized by non-linear dynamics with an essential chaotic component. Calculation algorithms are formulated for obtaining estimates of the initial moments based on the reference values of the characteristic function of mixtures of signals or data packets on macroeconomic processes and interference or events that affect macroeconomic dynamics, but are not taken into account in traditional economic analysis. It is concluded that the processes of macroeconomic dynamics in the global economy in the face of complex multifactorial crisis phenomena with an essential chaotic component began to be influenced by stationary stochastic factors that are not taken into account in traditional analytical models of macroeconomic dynamics.

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Evaluation of the Probabilistic characteristics of Random processes in the World Economy under Conditions of Nonlinear dynamics with an Essential Chaotic Component