Compound Markov Negative Binomial Distribution
| dc.authorid | Eryilmaz, Serkan/0000-0002-2108-1781 | |
| dc.authorscopusid | 8203625300 | |
| dc.authorwosid | Eryilmaz, Serkan/AAF-9349-2019 | |
| dc.contributor.author | Eryilmaz, Serkan | |
| dc.contributor.other | Industrial Engineering | |
| dc.date.accessioned | 2024-07-05T14:29:15Z | |
| dc.date.available | 2024-07-05T14:29:15Z | |
| dc.date.issued | 2016 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | Atilim Univ, Dept Ind Engn, TR-06836 Ankara, Turkey | en_US |
| dc.description | Eryilmaz, Serkan/0000-0002-2108-1781 | en_US |
| dc.description.abstract | Let {Y-i}(i >= 1) be a sequence of {0,1} variables which forms a Markov chain with a given initial probability distribution and one-step transition probability matrix. Define N-n to be the number of trials until the nth success ("1") in {Y-i}(i >= 1). In this paper, we study the distribution of the random variable T = Sigma(Nn)(i=1) X-i, where {X-i}(i >= 1) is a sequence of independent and identically distributed random variables having a common phase-type distribution. The distribution of T is obtained by means of phase-type distributions. (C) 2015 Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.citationcount | 10 | |
| dc.identifier.doi | 10.1016/j.cam.2015.06.026 | |
| dc.identifier.endpage | 6 | en_US |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.issn | 1879-1778 | |
| dc.identifier.scopus | 2-s2.0-84937019632 | |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.cam.2015.06.026 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/490 | |
| dc.identifier.volume | 292 | en_US |
| dc.identifier.wos | WOS:000362130400001 | |
| dc.identifier.wosquality | Q1 | |
| dc.institutionauthor | Eryılmaz, Serkan | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.scopus.citedbyCount | 13 | |
| dc.subject | Compound random variable | en_US |
| dc.subject | Markov chain | en_US |
| dc.subject | Phase-type distribution | en_US |
| dc.title | Compound Markov Negative Binomial Distribution | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 11 | |
| dspace.entity.type | Publication | |
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