The Distributions of Sum, Minima and Maxima of Generalized Geometric Random Variables
| dc.contributor.author | Tank, Fatih | |
| dc.contributor.author | Eryilmaz, Serkan | |
| dc.date.accessioned | 2024-07-05T14:32:18Z | |
| dc.date.available | 2024-07-05T14:32:18Z | |
| dc.date.issued | 2015 | |
| dc.description | tank, fatih/0000-0003-3758-396X; Tank, Fatih/0000-0003-3758-396X; Eryilmaz, Serkan/0000-0002-2108-1781 | en_US |
| dc.description.abstract | Geometric distribution of order as one of the generalization of well known geometric distribution is the distribution of the number of trials until the first consecutive successes in Bernoulli trials with success probability . In this paper, it is shown that this generalized distribution can be represented as a discrete phase-type distribution. Using this representation along with closure properties of phase-type distributions, the distributions of sum, minima and maxima of two independent random variables having geometric distribution of order are obtained. Numerical results are presented to illustrate the computational details. | en_US |
| dc.identifier.doi | 10.1007/s00362-014-0632-4 | |
| dc.identifier.issn | 0932-5026 | |
| dc.identifier.issn | 1613-9798 | |
| dc.identifier.scopus | 2-s2.0-84945305097 | |
| dc.identifier.uri | https://doi.org/10.1007/s00362-014-0632-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/791 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Statistical Papers | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Geometric distribution of order k | en_US |
| dc.subject | Phase-type distribution | en_US |
| dc.subject | Reliability | en_US |
| dc.title | The Distributions of Sum, Minima and Maxima of Generalized Geometric Random Variables | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | tank, fatih/0000-0003-3758-396X | |
| gdc.author.id | Tank, Fatih/0000-0003-3758-396X | |
| gdc.author.id | Eryilmaz, Serkan/0000-0002-2108-1781 | |
| gdc.author.scopusid | 12041740200 | |
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| gdc.author.wosid | tank, fatih/AAS-2230-2021 | |
| gdc.author.wosid | Eryilmaz, Serkan/AAF-9349-2019 | |
| gdc.author.wosid | Tank, Fatih/W-4877-2017 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Tank, Fatih] Ankara Univ, Dept Stat, TR-06100 Ankara, Turkey; [Eryilmaz, Serkan] Atilim Univ, Dept Ind Engn, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 1203 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 1191 | en_US |
| gdc.description.volume | 56 | en_US |
| gdc.description.wosquality | Q3 | |
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| gdc.oaire.keywords | reliability | |
| gdc.oaire.keywords | geometric distribution of order \(k\) | |
| gdc.oaire.keywords | Probability distributions: general theory | |
| gdc.oaire.keywords | Exact distribution theory in statistics | |
| gdc.oaire.keywords | phase-type distribution | |
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| gdc.virtual.author | Eryılmaz, Serkan | |
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