Geometric Brownian Motion Based on Stochastic Differential Equation Modeling Considering the Change Point Estimation for the Fluctuation of the Turkish Lira Against the US Dollar
| dc.contributor.author | Erdogan, Fevzi | |
| dc.contributor.author | Çalıkuşu, Sevda Özdemir | |
| dc.contributor.author | İnce, Nihal | |
| dc.date.accessioned | 2025-11-30T19:19:51Z | |
| dc.date.available | 2025-11-30T19:19:51Z | |
| dc.date.issued | 2025 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | Van Yüzüncü Yıl Üniversitesi,Van Yüzüncü Yıl Üniversitesi,Eskişehir Teknik Üniversitesi | en_US |
| dc.description.abstract | In this study, the data showing the fluctuation of the Turkish Lira (TL) against the US Dollar (USD) between 19.06.2017 and 19.06.2022 were examined with Geometric Brownian Motion Stochastic Differential Equation Modeling (GBM SDEM). The study aims to get the GBM stochastic differential equation that best fits USD/TL data by considering the change point estimation (CP). Considering CP when working with abruptly changing datasets has a positive effect on the performance of the constructed model. In addition, there may be more than one CP in the data set, and as the number of CP increases, more suitable models can be obtained for the dataset. The results are supported by graphs that show the proposed SDE model fits the dataset. | en_US |
| dc.identifier.doi | 10.33187/jmsm.1643023 | |
| dc.identifier.endpage | 85 | en_US |
| dc.identifier.issn | 2636-8692 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.startpage | 75 | en_US |
| dc.identifier.trdizinid | 1337627 | |
| dc.identifier.uri | https://doi.org/10.33187/jmsm.1643023 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/en/yayin/detay/1337627/geometric-brownian-motion-based-on-stochastic-differential-equation-modeling-considering-the-change-point-estimation-for-the-fluctuation-of-the-turkish-lira-against-the-us-dollar | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/29139 | |
| dc.identifier.volume | 8 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Journal of Mathematical Sciences and Modelling (Online) | en_US |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | Geometric Brownian Motion Based on Stochastic Differential Equation Modeling Considering the Change Point Estimation for the Fluctuation of the Turkish Lira Against the US Dollar | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |