dc.date.accessioned | 2024-02-11T17:57:09Z | |
dc.date.available | 2024-02-11T17:57:09Z | |
dc.date.created | 2024-01-30T11:47:26Z | |
dc.date.issued | 2024 | |
dc.identifier.citation | Yurchenko-Tytarenko, Anton Mishura, Yuliya Pilipenko, Andrey . Low-dimensional Cox-Ingersoll-Ross process. Stochastics: An International Journal of Probability and Stochastic Processes. 2024 | |
dc.identifier.uri | http://hdl.handle.net/10852/107884 | |
dc.description.abstract | The present paper investigates Cox-Ingersoll-Ross (CIR) processes of dimension less than 1, with a focus on obtaining an equation of a new type including local times for the square root of the CIR process. To derive this equation, we utilize the fact that non-negative diffusion processes can be obtained by the transformation of time and scale of a certain reflected Brownian motion. The equation mentioned above turns out to contain a term characterized by the local time of the corresponding reflected Brownian motion. Additionally, we establish a new connection between low-dimensional CIR processes and reflected Ornstein-Uhlenbeck (ROU) processes, providing a new representation of Skorokhod reflection functions. | |
dc.language | EN | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.title | Low-dimensional Cox-Ingersoll-Ross process | |
dc.title.alternative | ENEngelskEnglishLow-dimensional Cox-Ingersoll-Ross process | |
dc.type | Journal article | |
dc.creator.author | Yurchenko-Tytarenko, Anton | |
dc.creator.author | Mishura, Yuliya | |
dc.creator.author | Pilipenko, Andrey | |
cristin.unitcode | 185,15,13,35 | |
cristin.unitname | Risiko og stokastikk | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |
dc.identifier.cristin | 2238181 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Stochastics: An International Journal of Probability and Stochastic Processes&rft.volume=&rft.spage=&rft.date=2024 | |
dc.identifier.jtitle | Stochastics: An International Journal of Probability and Stochastic Processes | |
dc.identifier.startpage | 1 | |
dc.identifier.endpage | 21 | |
dc.identifier.doi | https://doi.org/10.1080/17442508.2023.2300291 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 1744-2508 | |
dc.type.version | PublishedVersion | |
dc.relation.project | NFR/274410 | |