Run Statistics Defined on the Multicolor Urn Model
| dc.contributor.author | Eryılmaz, Serkan | |
| dc.date.accessioned | 2023-06-16T14:38:42Z | |
| dc.date.available | 2023-06-16T14:38:42Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | Recently, Makri, Philippou and Psillakis (2007b) studied the exact distribution of success run statistics defined on an urn model. They derived the exact distributions of various success run statistics for a sequence of binary trials generated by the Polya-Eggenberger sampling scheme. In Our study we derive the joint distributions of run statistics defined on the multicolor urn model using a simple unified combinatorial approach and extend some of the results of Makri, Philippou and Psillakis (2007b). As a consequence of our results, we obtain the joint distributions of success and failure runs defined on the two-color urn model. The results enable us to compute the characteristics of particular consecutive-type systems and start-up demonstration tests. | en_US |
| dc.identifier.doi | 10.1239/jap/1231340230 | |
| dc.identifier.issn | 0021-9002 | |
| dc.identifier.issn | 1475-6072 | |
| dc.identifier.scopus | 2-s2.0-58449119116 | |
| dc.identifier.uri | https://doi.org/10.1239/jap/1231340230 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/2279 | |
| dc.language.iso | en | en_US |
| dc.publisher | Applied Probability Trust | en_US |
| dc.relation.ispartof | Journal of Applıed Probabılıty | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Consecutive-k, r-out-of-n: DFM system | en_US |
| dc.subject | Dirichlet measure | en_US |
| dc.subject | multicolor Polya sampling scheme | en_US |
| dc.subject | multistate exchangeable trial | en_US |
| dc.subject | runs | en_US |
| dc.subject | start-up demonstration test | en_US |
| dc.subject | waiting time | en_US |
| dc.subject | Success Runs | en_US |
| dc.subject | Multistate Trials | en_US |
| dc.subject | Consecutive-K | en_US |
| dc.subject | Markov-Chain | en_US |
| dc.subject | Joint Distributions | en_US |
| dc.subject | Quality-Control | en_US |
| dc.subject | Control Charts | en_US |
| dc.subject | Longest Runs | en_US |
| dc.subject | Sequence | en_US |
| dc.subject | Length | en_US |
| dc.title | Run Statistics Defined on the Multicolor Urn Model | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Eryılmaz, Serkan/0000-0002-2108-1781 | |
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| gdc.author.wosid | Eryılmaz, Serkan/AAF-9349-2019 | |
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| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey | en_US |
| gdc.description.endpage | 1023 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 1007 | en_US |
| gdc.description.volume | 45 | en_US |
| gdc.description.wosquality | Q4 | |
| gdc.identifier.openalex | W1987138015 | |
| gdc.identifier.wos | WOS:000262571400008 | |
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| gdc.oaire.keywords | Combinatorial probability | |
| gdc.oaire.keywords | \(r\)-out-of-\(n\): DFM system | |
| gdc.oaire.keywords | runs | |
| gdc.oaire.keywords | start-up demonstration test | |
| gdc.oaire.keywords | Exact distribution theory in statistics | |
| gdc.oaire.keywords | consecutive-\(k\) | |
| gdc.oaire.keywords | multicolor Pólya sampling scheme | |
| gdc.oaire.keywords | waiting time | |
| gdc.oaire.keywords | multistate exchangeable trial | |
| gdc.oaire.keywords | Dirichlet measure | |
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| gdc.virtual.author | Eryilmaz, Serkan | |
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