Khaniyev, T.Gever, B.Hanalioglu, Z.2024-09-292024-09-292023979-835031906-4https://doi.org/10.1109/PCI60110.2023.10325929https://hdl.handle.net/20.500.14619/92995th International Conference on Problems of Cybernetics and Informatics, PCI 2023 -- 28 August 2023 through 30 August 2023 -- Baku -- 195003This study considers a non-linear Cramér-Lundberg model of the risk theory and investigates the adjustment coefficient when the claims have gamma distribution. The ruin probability of this non-linear risk model is considered when the premium function is square root of time. Thus, in this study, the adjustment coefficient is explored by numerical methods and proposed an approximate formula for practical calculation of adjustment coefficient. Moreover, an implementation of the obtained approximate formula, which investigates ruin probability, is included as an example at the end of the paper. © 2023 IEEE.eninfo:eu-repo/semantics/closedAccessadjustment coefficientgamma distributionnon-linear Cramer-Lundberg risk modelruin probabilityConference Object10.1109/PCI60110.2023.103259292-s2.0-85179890823N/A