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The paper discusses the use of mathematical methods in modeling the predictions for repeat offences. The authors present statistical data which show that while the general number of crimes is decreasing, the specific weight of repeat crimes is steadily growing: it has grown from 46,6 to 56,7 % in 2012-2016. Repeat offences are a testimony to a steady criminal orientation of criminals' personalities, they are viewed as a form of professional criminal activity and often lead to involving other people in criminal relationships, so the measures to prevent and counteract repeat crimes are a priority for modern criminal policy. The authors present an overview of contemporary

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