A geometric process with Hjorth marginal: Estimation, discrimination, and reliability data modeling

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dc.contributor.authorDemirci Bicer, Hayrinisa
dc.contributor.authorBicer, Cenker
dc.contributor.authorBakouch, Hassan Salah Hassan
dc.date.accessioned2025-01-21T16:34:59Z
dc.date.available2025-01-21T16:34:59Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThe geometric process is one of the important simple monotonic processes with a positive ratio parameter in the theory of stochastic processes. Simply, it can be thought of as a generalization of the renewal process (RP). In the current paper, we mainly study the geometric process with the Hjorth marginal distribution, with parameters theta and lambda, for being able to model the successive inter-arrival times with a trend. We first examine inference problem for the mentioned process from different perspectives and obtain the different estimators of its parameters by employing different estimation methods such as maximum likelihood, modified moments, modified maximum spacing, and modified least-squares. The efficiencies of these estimators are compared via a series of extensive simulation studies in the paper. Further, we give also a discrimination statistic for discriminating among geometric processes with the Hjorth distribution and its alternatives. This is quite important to select the optimal geometric process model for data. Finally, a modeling study by using the geometric process with the Hjorth distribution is provided in detail to display its effectiveness to model the reliability data sets.
dc.identifier.doi10.1002/qre.3109
dc.identifier.endpage2819
dc.identifier.issn0748-8017
dc.identifier.issn1099-1638
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85127660426
dc.identifier.scopusqualityQ2
dc.identifier.startpage2795
dc.identifier.urihttps://doi.org/10.1002/qre.3109
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24050
dc.identifier.volume38
dc.identifier.wosWOS:000779726300001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofQuality and Reliability Engineering International
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241229
dc.subjectdiscrimination; estimation; geometric processes; inter-arrival times; marginal distributions
dc.titleA geometric process with Hjorth marginal: Estimation, discrimination, and reliability data modeling
dc.typeArticle

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