Generalized Waiting Time Distributions Associated With Runs
| dc.contributor.author | Eryilmaz, Serkan | |
| dc.contributor.other | Industrial Engineering | |
| dc.contributor.other | 06. School Of Engineering | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T14:29:09Z | |
| dc.date.available | 2024-07-05T14:29:09Z | |
| dc.date.issued | 2016 | |
| 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.doi | 10.1007/s00184-015-0558-4 | |
| dc.identifier.issn | 0026-1335 | |
| dc.identifier.issn | 1435-926X | |
| dc.identifier.scopus | 2-s2.0-84961201933 | |
| dc.identifier.uri | https://doi.org/10.1007/s00184-015-0558-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/467 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Metrika | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | [No Keyword Available] | en_US |
| dc.title | Generalized Waiting Time Distributions Associated With Runs | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Eryilmaz, Serkan/0000-0002-2108-1781 | |
| gdc.author.institutional | Eryılmaz, Serkan | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Eryilmaz, Serkan] Atilim Univ, Dept Ind Engn, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 368 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 357 | en_US |
| gdc.description.volume | 79 | en_US |
| gdc.description.wosquality | Q4 | |
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