Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.11851/11687
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Poladova,A. | - |
dc.contributor.author | Tekin,S. | - |
dc.contributor.author | Khaniyev,T. | - |
dc.date.accessioned | 2024-07-24T11:57:23Z | - |
dc.date.available | 2024-07-24T11:57:23Z | - |
dc.date.issued | 2024 | - |
dc.identifier.issn | 0001-4346 | - |
dc.identifier.uri | https://doi.org/10.1134/S000143462405033X | - |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/11687 | - |
dc.description.abstract | Abstract: In this paper, a modification of a renewal-reward process with dependent components is mathematically constructed and the stationary characteristics of this process are studied. Stochastic processes with dependent components have rarely been studied in the literature owing to their complex mathematical structure. We partially fill the gap by studying the effect of the dependence assumption on the stationary properties of the process. To this end, first, we obtain explicit formulas for the ergodic distribution and the stationary moments of the process. Then we analyze the asymptotic behavior of the stationary moments of the process by using the basic results of the renewal theory and the Laplace transform method. Based on the analysis, we obtain two-term asymptotic expansions of the stationary moments. Moreover, we present two-term asymptotic expansions for the expectation, variance, and standard deviation of the process. Finally, the asymptotic results obtained are examined in special cases. © Pleiades Publishing, Ltd. 2024. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Pleiades Publishing | en_US |
dc.relation.ispartof | Mathematical Notes | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | asymptotic expansion | en_US |
dc.subject | dependent components | en_US |
dc.subject | moments of ergodic distribution | en_US |
dc.subject | regenerative process | en_US |
dc.subject | renewal-reward process | en_US |
dc.title | Asymptotic Expansions for the Stationary Moments of a Modified Renewal-Reward Process With Dependent Components | en_US |
dc.type | Article | en_US |
dc.department | TOBB ETÜ | en_US |
dc.identifier.volume | 115 | en_US |
dc.identifier.issue | 5-6 | en_US |
dc.identifier.startpage | 987 | en_US |
dc.identifier.endpage | 997 | en_US |
dc.identifier.wos | WOS:001267853800038 | en_US |
dc.identifier.scopus | 2-s2.0-85198617889 | en_US |
dc.identifier.doi | 10.1134/S000143462405033X | - |
dc.authorscopusid | 57211683090 | - |
dc.authorscopusid | 48762212600 | - |
dc.authorscopusid | 7801652544 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.wosquality | Q3 | - |
item.openairetype | Article | - |
item.languageiso639-1 | en | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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