STATISTICAL INFERENCE FOR GEOMETRIC PROCESS WITH THE RAYLEIGH DISTRIBUTION

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dc.contributor.authorBiçer, Cenker
dc.contributor.authorBiçer, Hayrinisa Demirci
dc.contributor.authorKara, Mahmut
dc.contributor.authorAydoğdu, Halil
dc.date.accessioned2021-01-14T18:22:13Z
dc.date.available2021-01-14T18:22:13Z
dc.date.issued2019
dc.description.abstractThe aim of this study is to investigate the solution of the statistical inference problem for the geometric process (GP) when the distribution of Örst occurrence time is assumed to be Rayleigh. Maximum likelihood (ML) estimators for the parameters of GP, where a and ? are the ratio parameter of GP and scale parameter of Rayleigh distribution, respectively, are obtained. In addition, we derive some important asymptotic properties of these estimators such as normality and consistency. Then we run some simulation studies by di§erent parameter values to compare the estimation performances of the obtained ML estimators with the non-parametric modiÖed moment (MM) estimators. The results of the simulation studies show that the obtained estimators are more e¢ cient than the MM estimators.en_US
dc.identifier.doi10.31801/cfsuasmas.443690
dc.identifier.endpage160en_US
dc.identifier.issn1303-5991
dc.identifier.issn2618-6470
dc.identifier.issue1en_US
dc.identifier.startpage149en_US
dc.identifier.trdizinid377516
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.443690
dc.identifier.urihttps://app.trdizin.gov.tr/makale/TXpjM05URTJOZz09
dc.identifier.urihttps://hdl.handle.net/20.500.12587/14109
dc.identifier.volume68en_US
dc.identifier.wosWOS:000463698900013
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.relation.ispartofCommunications Series A1: Mathematics and Statistics
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleSTATISTICAL INFERENCE FOR GEOMETRIC PROCESS WITH THE RAYLEIGH DISTRIBUTIONen_US
dc.typeArticle

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