Compound Geometric Distribution of Order <i>k</I>

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dc.authoridKoutras, Markos/0000-0001-5160-2405
dc.authoridEryilmaz, Serkan/0000-0002-2108-1781
dc.authorscopusid6603801481
dc.authorscopusid8203625300
dc.authorwosidEryilmaz, Serkan/AAF-9349-2019
dc.contributor.authorKoutras, Markos V.
dc.contributor.authorEryilmaz, Serkan
dc.contributor.otherIndustrial Engineering
dc.date.accessioned2024-07-05T15:29:07Z
dc.date.available2024-07-05T15:29:07Z
dc.date.issued2017
dc.departmentAtılım Universityen_US
dc.department-temp[Koutras, Markos V.] Univ Piraeus, Dept Stat & Insurance Sci, Piraeus, Greece; [Eryilmaz, Serkan] Atilim Univ, Dept Ind Engn, Ankara, Turkeyen_US
dc.descriptionKoutras, Markos/0000-0001-5160-2405; Eryilmaz, Serkan/0000-0002-2108-1781en_US
dc.description.abstractThe distribution of the number of trials until the first k consecutive successes in a sequence of Bernoulli trials with success probability p is known as geometric distribution of order k. Let T (k) be a random variable that follows a geometric distribution of order k, and Y (1),Y (2),aEuro broken vertical bar a sequence of independent and identically distributed discrete random variables which are independent of T (k) . In the present article we develop some results on the distribution of the compound random variable Y-t.en_US
dc.description.sponsorshipEuropean Union; Greek national funds through the Operational Program "Education and Lifelong Learning" of the National Strategic Reference Framework (NSRF) - Research Funding Program: Aristeia II. Investing in knowledge society through the European Social Funden_US
dc.description.sponsorshipThe authors would like to thank the two anonymous referees for their constructive comments that led to a significant improvement of the MS. Part of this work was carried out while S. Eryilmaz was visiting University of Piraeus. The research of M. V. Koutras has been co-financed by the European Union (European Social Fund - ESF) and Greek national funds through the Operational Program "Education and Lifelong Learning" of the National Strategic Reference Framework (NSRF) - Research Funding Program: Aristeia II. Investing in knowledge society through the European Social Fund.en_US
dc.identifier.citationcount13
dc.identifier.doi10.1007/s11009-016-9482-y
dc.identifier.endpage393en_US
dc.identifier.issn1387-5841
dc.identifier.issn1573-7713
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84957539194
dc.identifier.scopusqualityQ3
dc.identifier.startpage377en_US
dc.identifier.urihttps://doi.org/10.1007/s11009-016-9482-y
dc.identifier.urihttps://hdl.handle.net/20.500.14411/2868
dc.identifier.volume19en_US
dc.identifier.wosWOS:000401432800002
dc.identifier.wosqualityQ4
dc.institutionauthorEryılmaz, Serkan
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.scopus.citedbyCount17
dc.subjectCompound distributionsen_US
dc.subjectGeometric distribution of order ken_US
dc.subjectPhase-type distributionen_US
dc.subjectRunsen_US
dc.titleCompound Geometric Distribution of Order <i>k</I>en_US
dc.typeArticleen_US
dc.wos.citedbyCount13
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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