STATISTICAL INFERENCE FOR GEOMETRIC PROCESS WITH THE GENERALIZED RAYLEIGH DISTRIBUTION

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dc.contributor.authorBicer, Cenker
dc.contributor.authorBicer, Hayrinisa D.
dc.contributor.authorKara, Mahmut
dc.contributor.authorYilmaz, Asuman
dc.date.accessioned2025-01-21T16:44:33Z
dc.date.available2025-01-21T16:44:33Z
dc.date.issued2020
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn the present paper, the statistical inference problem is considered for the geometric process (GP) by assuming the distribution of the first arrival time with generalized Rayleigh distribution with the parameters alpha and lambda. We have used the maximum likelihood method for obtaining the ratio parameter of the GP and distributional parameters of the generalized Rayleigh distribution. By a series of Monte-Carlo simulations evaluated through the different samples of sizes - small, moderate and large, we have also compared the estimation performances of the maximum likelihood estimators with the other estimators available in the literature such as modified moment, modified L-moment, and modified least squares. Furthermore, wehave presented two real-life datasets analyses to show the modeling behavior of GP with generalized Rayleigh distribution.
dc.identifier.doi10.22190/FUMI2004107B
dc.identifier.endpage1125
dc.identifier.issn0352-9665
dc.identifier.issn2406-047X
dc.identifier.issue4
dc.identifier.startpage1107
dc.identifier.urihttps://doi.org/10.22190/FUMI2004107B
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25483
dc.identifier.volume35
dc.identifier.wosWOS:000615256700016
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherUniv Nis
dc.relation.ispartofFacta Universitatis-Series Mathematics and Informatics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectMonotone processes; non-parametric estimation; parametric estimation; stochastic process; data with trend
dc.titleSTATISTICAL INFERENCE FOR GEOMETRIC PROCESS WITH THE GENERALIZED RAYLEIGH DISTRIBUTION
dc.typeArticle

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