Discrete Scan Statistics Generated by Exchangeable Binary Trials

dc.authoridEryilmaz, Serkan/0000-0002-2108-1781
dc.authorscopusid8203625300
dc.authorwosidEryilmaz, Serkan/AAF-9349-2019
dc.contributor.authorEryilmaz, Serkan
dc.contributor.otherIndustrial Engineering
dc.date.accessioned2024-07-05T15:16:10Z
dc.date.available2024-07-05T15:16:10Z
dc.date.issued2010
dc.departmentAtılım Universityen_US
dc.department-temp[Eryilmaz, Serkan] Izmir Univ Econ, Izmir, Turkeyen_US
dc.descriptionEryilmaz, Serkan/0000-0002-2108-1781en_US
dc.description.abstractLet {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.citationcount5
dc.identifier.doi10.1239/jap/1294170521
dc.identifier.endpage1092en_US
dc.identifier.issn0021-9002
dc.identifier.issn1475-6072
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-80054728505
dc.identifier.startpage1084en_US
dc.identifier.urihttps://doi.org/10.1239/jap/1294170521
dc.identifier.urihttps://hdl.handle.net/20.500.14411/1607
dc.identifier.volume47en_US
dc.identifier.wosWOS:000286958100015
dc.identifier.wosqualityQ3
dc.institutionauthorEryılmaz, Serkan
dc.language.isoenen_US
dc.publisherCambridge Univ Pressen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.scopus.citedbyCount8
dc.subjectBernoulli sequenceen_US
dc.subjectexchangeable binary trialen_US
dc.subjectreliabilityen_US
dc.subjectscan statisticsen_US
dc.titleDiscrete Scan Statistics Generated by Exchangeable Binary Trialsen_US
dc.typeArticleen_US
dc.wos.citedbyCount5
dspace.entity.typePublication
relation.isAuthorOfPublication37862217-5541-47e3-9406-e21aa38e7fdf
relation.isAuthorOfPublication.latestForDiscovery37862217-5541-47e3-9406-e21aa38e7fdf
relation.isOrgUnitOfPublication12c9377e-b7fe-4600-8326-f3613a05653d
relation.isOrgUnitOfPublication.latestForDiscovery12c9377e-b7fe-4600-8326-f3613a05653d

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