Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1578
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dc.contributor.authorGökpınar, Esra-
dc.contributor.authorKhaniyev, Tahir-
dc.contributor.authorGamgam, Hamza-
dc.date.accessioned2019-07-03T14:44:46Z
dc.date.available2019-07-03T14:44:46Z
dc.date.issued2015-07
dc.identifier.citationGökpınar, E., Khaniyev, T., & Gamgam, H. (2015). Asymptotic Properties of the Straight Line Estimator for a Renewal Function. Sains Malaysiana, 44(7), 1041-1051.en_US
dc.identifier.issn0126-6039
dc.identifier.urihttps://hdl.handle.net/20.500.11851/1578-
dc.description.abstractIn estimation problems in renewal function, when the distribution is not known, nonparametric estimators of renewal function are used. Frees (1986a, Warranty analysis and renewal function estimation, Naval Res. Logist. Quart, 33, 361-372) proposed the nonparametric estimator of renewal function for large values of t. Frees's estimator is easy to apply in practice. It is a preferred estimator for large values of t. However, its statistical properties still have not been investigated in detailed. For this reason, in this study, we investigate asymptotic properties of this estimator such as consistency, asymptotic unbiasedness and asymptotic normality. Also Monte Carlo simulation study is given to assess the performance of this estimator according to value of renewal function. Simulation results indicate that in the large values of t, Frees estimator is sufficiently close to the renewal function for the Gamma distribution with various parameters.en_US
dc.description.abstract[Gokpinar, Esra; Gamgam, Hamza] Gazi Univ, Dept Stat, TR-06500 Ankara, Turkey; [Khaniyev, Tahir] TOBB Univ Econ & Technol, Dept Ind Engn, TR-06500 Ankara, Turkey; [Khaniyev, Tahir] Natl Acad Sci, Inst Cybernet Azerbaijan, AZ-1141 Baku, Azerbaijanen_US
dc.language.isoenen_US
dc.publisherUniv Kebangsaan Malaysiaen_US
dc.relation.ispartofSains Malaysianaen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAsymptotic normalityen_US
dc.subjectasymptotic unbiasednessen_US
dc.subjectconsistencyen_US
dc.subjectnonparametric estimatoren_US
dc.subjectrenewal functionen_US
dc.titleAsymptotic Properties of the Straight Line Estimator for a Renewal Functionen_US
dc.typeArticleen_US
dc.departmentFaculties, Faculty of Engineering, Department of Industrial Engineeringen_US
dc.departmentFakülteler, Mühendislik Fakültesi, Endüstri Mühendisliği Bölümütr_TR
dc.identifier.volume44
dc.identifier.issue7
dc.identifier.startpage1041
dc.identifier.endpage1051
dc.authorid0000-0003-1974-0140-
dc.identifier.wosWOS:000361062300017en_US
dc.identifier.scopus2-s2.0-84941122691en_US
dc.institutionauthorKhaniyev, Tahir-
dc.authorscopusid7801652544-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ2-
item.openairetypeArticle-
item.languageiso639-1en-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
crisitem.author.dept02.4. Department of Industrial Engineering-
Appears in Collections:Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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