Q-Geometric and Q-Binomial Distributions of Order K

dc.contributor.author Yalcin, Femin
dc.contributor.author Eryılmaz, Serkan
dc.date.accessioned 2023-06-16T12:59:00Z
dc.date.available 2023-06-16T12:59:00Z
dc.date.issued 2014
dc.description.abstract In 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.doi 10.1016/j.cam.2014.03.025
dc.identifier.issn 0377-0427
dc.identifier.issn 1879-1778
dc.identifier.scopus 2-s2.0-84899440309
dc.identifier.uri https://doi.org/10.1016/j.cam.2014.03.025
dc.identifier.uri https://hdl.handle.net/20.500.14365/1101
dc.language.iso en en_US
dc.publisher Elsevier Science Bv en_US
dc.relation.ispartof Journal of Computatıonal And Applıed Mathematıcs en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Distributions of order k en_US
dc.subject q-distributions en_US
dc.subject Runs en_US
dc.subject Markov Dependent Trials en_US
dc.subject Success Runs en_US
dc.subject Binary Sequences en_US
dc.subject Length-K en_US
dc.subject Parameters en_US
dc.subject Formulas en_US
dc.subject Strings en_US
dc.subject Model en_US
dc.title Q-Geometric and Q-Binomial Distributions of Order K en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Yalcin, Femin/0000-0003-0602-9392
gdc.author.id Eryılmaz, Serkan/0000-0002-2108-1781
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gdc.author.wosid Yalcin, Femin/N-9138-2015
gdc.author.wosid Eryılmaz, Serkan/AAF-9349-2019
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gdc.description.department İEÜ, Fen Edebiyat Fakültesi, Matematik Bölümü en_US
gdc.description.departmenttemp [Yalcin, Femin] Izmir Univ Econ, Dept Math, Izmir, Turkey; [Eryılmaz, Serkan] Atilim Univ, Dept Ind Engn, Ankara, Turkey en_US
gdc.description.endpage 38 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 31 en_US
gdc.description.volume 271 en_US
gdc.description.wosquality Q1
gdc.identifier.openalex W2048647244
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gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
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gdc.opencitations.count 12
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gdc.scopus.citedcount 12
gdc.virtual.author Yalçin, Femin
gdc.virtual.author Eryilmaz, Serkan
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