Maximal inequalities with exponential decay under weak dependence conditions
| dc.authorid | 0000-0003-2323-6238 | en_US |
| dc.contributor.author | Boukhari, Fakhreddine | |
| dc.date.accessioned | 2024-07-12T20:47:17Z | |
| dc.date.available | 2024-07-12T20:47:17Z | |
| dc.date.issued | 2021 | en_US |
| dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | We establish large deviation inequalities with exponential decay for the maximum of partial sums of subgaussian random variables. Applying our result to acceptable sequences of bounded mean zero random variables, we strengthen a well-known inequality of Hoeffding. As a consequence we prove a bounded law of iterated logarithm for this class of random variables. The obtained method, also allows us to state a strong integrability property for weighted series of negatively dependent random variables. | en_US |
| dc.identifier.citation | Boukhari, F. (2021). Maximal inequalities with exponential decay under weak dependence conditions. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4. | en_US |
| dc.identifier.endpage | 4 | en_US |
| dc.identifier.isbn | 978-0-7354-4078-4 | |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.uri | https://aip.scitation.org/doi/10.1063/5.0042194 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/1973 | |
| dc.language.iso | en | en_US |
| dc.publisher | Maltepe Üniversitesi | en_US |
| dc.relation.ispartof | Fourth International Conference of Mathematical Sciences | en_US |
| dc.relation.isversionof | 10.1063/5.0042194 | en_US |
| dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.snmz | KY07393 | |
| dc.subject | Exponential inequality | en_US |
| dc.subject | subgaussian process | en_US |
| dc.subject | acceptable sequences | en_US |
| dc.title | Maximal inequalities with exponential decay under weak dependence conditions | en_US |
| dc.type | Conference Object | |
| dspace.entity.type | Publication |
