Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1579
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dc.contributor.authorHanalioğlu, Zülfiye-
dc.contributor.authorKhaniyev, Tahir-
dc.contributor.authorAgakishiyev, I.-
dc.date.accessioned2019-07-03T14:44:46Z
dc.date.available2019-07-03T14:44:46Z
dc.date.issued2015
dc.identifier.citationHanalioglu, Z., & Agakishiyev, T. K. I. (2015). Weak convergence theorem for the ergodic distribution of a random walk with normal distributed interference of chance. TWMS Journal of Applied and Engineering Mathematics, 5(1), 61.en_US
dc.identifier.issn2146-1147
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/192511-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/1579-
dc.description.abstractIn this study, a semi-Markovian random walk process (X (t)) with a discrete interference of chance is investigated. Here, it is assumed that the zeta(n), n = 1; 2; 3, ..., which describe the discrete interference of chance are independent and identically distributed random variables having restricted normal distribution with parameters (a; sigma(2)). Under this assumption, the ergodicity of the process X (t) is proved. Moreover, the exact forms of the ergodic distribution and characteristic function are obtained. Then, weak convergence theorem for the ergodic distribution of the process W-a (t) = X (t) = a is proved under additional condition that sigma/a -> 0 when a -> infinity.en_US
dc.description.abstract[Hanalioglu, Z.] Karabuk Univ, Dept Actuery & Risk Managment, TR-78050 Karabuk, Turkey; [Khaniyev, T.] TOBB Univ Econ & Technol, Dept Ind Engn, TR-06560 Ankara, Turkey; [Agakishiyev, I.] Azerbaijan Natl Acad Sci, Inst Cybernet, AZ-1141 Baku, Azerbaijanen_US
dc.language.isoenen_US
dc.publisherTurkic World Mathematical Socen_US
dc.relation.ispartofTwms Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRandom walken_US
dc.subjectdiscrete interference of chanceen_US
dc.subjectnormal distributionen_US
dc.subjectergodic distributionen_US
dc.subjectweak convergenceen_US
dc.titleWeak Convergence Theorem for the Ergodic Distribution of a Random Walk With Normal Distributed Interference of Chanceen_US
dc.typeArticleen_US
dc.departmentFaculties, Faculty of Engineering, Department of Industrial Engineeringen_US
dc.departmentFakülteler, Mühendislik Fakültesi, Endüstri Mühendisliği Bölümütr_TR
dc.identifier.volume5
dc.identifier.issue1
dc.identifier.startpage61
dc.identifier.endpage73
dc.authorid0000-0003-1974-0140-
dc.identifier.wosWOS:000374003500006en_US
dc.institutionauthorKhaniyev, Tahir-
dc.authorscopusid7801652544-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ4-
dc.identifier.trdizinid192511en_US
item.openairetypeArticle-
item.languageiso639-1en-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
crisitem.author.dept02.4. Department of Industrial Engineering-
Appears in Collections:Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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