Unification of Probability Theory on Time Scales
| dc.contributor.author | Ufuktepe, Unal | |
| dc.date.accessioned | 2023-06-16T14:36:02Z | |
| dc.date.available | 2023-06-16T14:36:02Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | The theory of time scales was introduced by Stefan Hilger in his PhD thesis in 1988 in order to unify continuous and discrete analysis. Probability is a discipline in which appears to be many applications of time scales. Time scales approach to probability theory unifies the standard discrete and continuous random variables. We give some basic random variables on the time scales. We define the distribution functions on time scales and show their properties. | en_US |
| dc.description.sponsorship | TUBITAK | en_US |
| dc.description.sponsorship | I would like to thank TUBITAK and the referees for their support and their valuable comments. | en_US |
| dc.identifier.doi | 10.1186/1687-1847-2012-211 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1847-2012-211 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/2257 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Advances in Dıfference Equatıons | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | probability | en_US |
| dc.subject | time scales | en_US |
| dc.subject | Integration | en_US |
| dc.subject | Delta | en_US |
| dc.title | Unification of Probability Theory on Time Scales | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Ufuktepe, Unal/0000-0002-7903-6385 | |
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| gdc.coar.type | text::journal::journal article | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | Izmir Univ Econ, Dept Math, Izmir, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | N/A | |
| gdc.description.volume | 2012 | |
| gdc.description.wosquality | Q1 | |
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| gdc.oaire.keywords | Algebra and Number Theory | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.keywords | probability | |
| gdc.oaire.keywords | time scales | |
| gdc.oaire.keywords | Probability theory on algebraic and topological structures | |
| gdc.oaire.keywords | Applications of functional analysis in probability theory and statistics | |
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| gdc.virtual.author | Ufuktepe, Ünal | |
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