Probabilistic Modeling in the Financial-Economic Sphere: Tutorial

The manual sets out the basics of the theory of Markov random processes occurring in systems with discrete states with discrete and continuous time, as well as flows of Poisson, Palma and Erlang. Their use as probabilistic models of various financial and economic situations is illustrated. Each paragraph of the manual is equipped with detailed examples, brief conclusions, questions for self -control and tasks with answers for the reader’s independent work. The manual is intended for students of the bachelor"s financial and economic direction that studies such disciplines as" economic and mathematical modeling "," Economics", "Operations" Research", "Mass Maintenance", etc., associated with probabilistic models in the management of the economy and business. However, it can be successfully used in the training of students of specialty, undergraduates, graduate students and students of the Institute of Professional Retraining of the corresponding specialties