<i>q</i>-geometric and <i>q</i>-binomial distributions of order <i>k</i>

dc.authoridYalcin, Femin/0000-0003-0602-9392
dc.authoridEryilmaz, Serkan/0000-0002-2108-1781
dc.authorscopusid37050274700
dc.authorscopusid8203625300
dc.authorwosidYalcin, Femin/N-9138-2015
dc.authorwosidEryilmaz, Serkan/AAF-9349-2019
dc.contributor.authorYalcin, Femin
dc.contributor.authorEryılmaz, Serkan
dc.contributor.authorEryilmaz, Serkan
dc.contributor.otherIndustrial Engineering
dc.date.accessioned2024-07-05T14:26:49Z
dc.date.available2024-07-05T14:26:49Z
dc.date.issued2014
dc.departmentAtılım Universityen_US
dc.department-temp[Yalcin, Femin] Izmir Univ Econ, Dept Math, Izmir, Turkey; [Eryilmaz, Serkan] Atilim Univ, Dept Ind Engn, Ankara, Turkeyen_US
dc.descriptionYalcin, Femin/0000-0003-0602-9392; Eryilmaz, Serkan/0000-0002-2108-1781en_US
dc.description.abstractIn this paper, we generalize geometric and binomial distributions of order k to q-geometric and q-binomial distributions of order k using Bernoulli trials with a geometrically varying success probability. In particular, we derive expressions for the probability mass functions of these distributions. For q = 1, these distributions reduce to geometric and binomial distributions of order k which have been extensively studied in the literature. (C) 2014 Elsevier B.V. All rights reserved.en_US
dc.identifier.citation12
dc.identifier.doi10.1016/j.cam.2014.03.025
dc.identifier.endpage38en_US
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.scopus2-s2.0-84899440309
dc.identifier.startpage31en_US
dc.identifier.urihttps://doi.org/10.1016/j.cam.2014.03.025
dc.identifier.urihttps://hdl.handle.net/20.500.14411/181
dc.identifier.volume271en_US
dc.identifier.wosWOS:000337862400003
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDistributions of order ken_US
dc.subjectq-distributionsen_US
dc.subjectRunsen_US
dc.title<i>q</i>-geometric and <i>q</i>-binomial distributions of order <i>k</i>en_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublication37862217-5541-47e3-9406-e21aa38e7fdf
relation.isAuthorOfPublication.latestForDiscovery37862217-5541-47e3-9406-e21aa38e7fdf
relation.isOrgUnitOfPublication12c9377e-b7fe-4600-8326-f3613a05653d
relation.isOrgUnitOfPublication.latestForDiscovery12c9377e-b7fe-4600-8326-f3613a05653d

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