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Most papers published in this Special Issue of Mathematics are written by the participants of the XXXVI International Seminar on Stability Problems for Stochastic Models, 2125 June, 2021, Petrozavodsk, Russia. The scope of the seminar embraces the following topics: · Limit theorems and stability problems; · Asymptotic theory of stochastic processes; · Stable distributions and processes; · Asymptotic statistics; · Discrete probability models; · Characterization of probability distributions; · Insurance and financial mathematics; · Applied statistics; · Queueing theory; and other fields. This Special Issue contains 12 papers by specialists who represent 6 countries: Belarus, France, Hungary, India, Italy, and Russia.