Compound Geometric Distribution of Order <i>k</I>
| dc.contributor.author | Koutras, Markos V. | |
| dc.contributor.author | Eryilmaz, Serkan | |
| dc.date.accessioned | 2024-07-05T15:29:07Z | |
| dc.date.available | 2024-07-05T15:29:07Z | |
| dc.date.issued | 2017 | |
| dc.description | Koutras, Markos/0000-0001-5160-2405; Eryilmaz, Serkan/0000-0002-2108-1781 | en_US |
| dc.description.abstract | The 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.sponsorship | European 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 Fund | en_US |
| dc.description.sponsorship | The 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.doi | 10.1007/s11009-016-9482-y | |
| dc.identifier.issn | 1387-5841 | |
| dc.identifier.issn | 1573-7713 | |
| dc.identifier.scopus | 2-s2.0-84957539194 | |
| dc.identifier.uri | https://doi.org/10.1007/s11009-016-9482-y | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/2868 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Methodology and Computing in Applied Probability | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Compound distributions | en_US |
| dc.subject | Geometric distribution of order k | en_US |
| dc.subject | Phase-type distribution | en_US |
| dc.subject | Runs | en_US |
| dc.title | Compound Geometric Distribution of Order <i>k</I> | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Koutras, Markos/0000-0001-5160-2405 | |
| gdc.author.id | Eryilmaz, Serkan/0000-0002-2108-1781 | |
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| gdc.author.wosid | Eryilmaz, Serkan/AAF-9349-2019 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Koutras, Markos V.] Univ Piraeus, Dept Stat & Insurance Sci, Piraeus, Greece; [Eryilmaz, Serkan] Atilim Univ, Dept Ind Engn, Ankara, Turkey | en_US |
| gdc.description.endpage | 393 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 377 | en_US |
| gdc.description.volume | 19 | en_US |
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| gdc.oaire.keywords | compound distributions | |
| gdc.oaire.keywords | Stopping times; optimal stopping problems; gambling theory | |
| gdc.oaire.keywords | Sums of independent random variables; random walks | |
| gdc.oaire.keywords | runs | |
| gdc.oaire.keywords | geometric distribution of order \(k\) | |
| gdc.oaire.keywords | Exact distribution theory in statistics | |
| gdc.oaire.keywords | Probability distributions: general theory | |
| gdc.oaire.keywords | phase-type distribution | |
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| gdc.virtual.author | Eryılmaz, Serkan | |
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