Discrete Scan Statistics Generated by Exchangeable Binary Trials
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 | 2024-07-05T15:16:10Z | |
dc.date.available | 2024-07-05T15:16:10Z | |
dc.date.issued | 2010 | |
dc.department | Atılım University | en_US |
dc.department-temp | [Eryilmaz, Serkan] Izmir Univ Econ, Izmir, Turkey | en_US |
dc.description | Eryilmaz, Serkan/0000-0002-2108-1781 | en_US |
dc.description.abstract | Let {X-i}(i=1)(n) be a sequence of random variables with two possible outcomes, denoted 0 and 1. Define a random variable S-n,S-m to be the maximum number of Is within any m consecutive trials in {X-i}(i=1)(n). The random variable S-n,S-m is called a discrete scan statistic and has applications in many areas. In this paper we evaluate the distribution of discrete scan statistics when {X-i}(i=1)(n) consists of exchangeable binary trials. We provide simple closed-form expressions for both conditional and unconditional distributions of S-n,S-m for 2m >= n. These results are also new for independent, identically distributed Bernoulli trials, which are a special case of exchangeable trials. | en_US |
dc.identifier.citationcount | 5 | |
dc.identifier.doi | 10.1239/jap/1294170521 | |
dc.identifier.endpage | 1092 | en_US |
dc.identifier.issn | 0021-9002 | |
dc.identifier.issn | 1475-6072 | |
dc.identifier.issue | 4 | en_US |
dc.identifier.scopus | 2-s2.0-80054728505 | |
dc.identifier.startpage | 1084 | en_US |
dc.identifier.uri | https://doi.org/10.1239/jap/1294170521 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14411/1607 | |
dc.identifier.volume | 47 | en_US |
dc.identifier.wos | WOS:000286958100015 | |
dc.identifier.wosquality | Q3 | |
dc.institutionauthor | Eryılmaz, Serkan | |
dc.language.iso | en | en_US |
dc.publisher | Cambridge Univ Press | 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 | 8 | |
dc.subject | Bernoulli sequence | en_US |
dc.subject | exchangeable binary trial | en_US |
dc.subject | reliability | en_US |
dc.subject | scan statistics | en_US |
dc.title | Discrete Scan Statistics Generated by Exchangeable Binary Trials | en_US |
dc.type | Article | en_US |
dc.wos.citedbyCount | 5 | |
dspace.entity.type | Publication | |
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relation.isAuthorOfPublication.latestForDiscovery | 37862217-5541-47e3-9406-e21aa38e7fdf | |
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