Generalized Waiting Time Distributions Associated With Runs

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 2024-07-05T14:29:09Z
dc.date.available 2024-07-05T14:29:09Z
dc.date.issued 2016
dc.department Atılım University en_US
dc.department-temp [Eryilmaz, Serkan] 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 be a {X-t, t >= 1} sequence of random variables with two possible values as either "1" (success) or "0" (failure). Define an independent sequence of random variables {D-i, i >= 1}. The random variable is associated with the success when it occupies the ith place in a run of successes. We define the weight of a success run as the sum of the D values corresponding to the successes in the run. Define the following two random variables: is the number of trials until the weight of a single success run exceeds or equals k, and is the number of trials until the weight of each of r success runs equals or exceeds k in {X-t, t >= 1}. Distributional properties of the waiting time random variables and are studied and illustrative examples are presented. en_US
dc.identifier.citationcount 6
dc.identifier.doi 10.1007/s00184-015-0558-4
dc.identifier.endpage 368 en_US
dc.identifier.issn 0026-1335
dc.identifier.issn 1435-926X
dc.identifier.issue 3 en_US
dc.identifier.scopus 2-s2.0-84961201933
dc.identifier.startpage 357 en_US
dc.identifier.uri https://doi.org/10.1007/s00184-015-0558-4
dc.identifier.uri https://hdl.handle.net/20.500.14411/467
dc.identifier.volume 79 en_US
dc.identifier.wos WOS:000372303900006
dc.identifier.wosquality Q4
dc.institutionauthor Eryılmaz, Serkan
dc.language.iso en en_US
dc.publisher Springer Heidelberg en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 8
dc.subject [No Keyword Available] en_US
dc.title Generalized Waiting Time Distributions Associated With Runs en_US
dc.type Article en_US
dc.wos.citedbyCount 7
dspace.entity.type Publication
relation.isAuthorOfPublication 37862217-5541-47e3-9406-e21aa38e7fdf
relation.isAuthorOfPublication.latestForDiscovery 37862217-5541-47e3-9406-e21aa38e7fdf
relation.isOrgUnitOfPublication 12c9377e-b7fe-4600-8326-f3613a05653d
relation.isOrgUnitOfPublication.latestForDiscovery 12c9377e-b7fe-4600-8326-f3613a05653d

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