On curvature measurements of the nonlinear errors in variable models by application study

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dc.contributor.authorTaylan, Pakize
dc.contributor.authorUysal, Ersin
dc.contributor.authorTez, Mujgan
dc.date.accessioned2024-04-24T16:24:46Z
dc.date.available2024-04-24T16:24:46Z
dc.date.issued2018
dc.departmentDicle Üniversitesien_US
dc.description.abstractRelative curvature measurements are of great importance from a practical point of view since it determines the validity of the linearized approximation used in estimation problems for nonlinear regression models. But, these measurements can be negatively affected when an explanatory variable contains a measurement error as well as response variables and can prevent accurate inferences. In our study, we considered the curvature measurement of nonlinear errors in variable models to investigate adequacy of the linear approximation in case the explanatory variables are subjected to measurement error and how the parameter estimation problem is affected by this error, using the geometric concepts such as parameter-effects and intrinsic curvatures of the model function. Then, for the two cases of the explanatory variable, curvature calculations and statistical inferences were made on the chemical model called Michaelis-Menten, in which the rate of reaction against a substrate concentration is measured, by using different data sets.en_US
dc.description.sponsorshipCommission for Scientific Research, University of Marmara, BAPKO, Turkey [FEN-D-070814-0276]en_US
dc.description.sponsorshipThe Third author is financially supported by the Commission for Scientific Research, University of Marmara, BAPKO, Turkey. (FEN-D-070814-0276)en_US
dc.identifier.doi10.1080/09720510.2018.1453678
dc.identifier.endpage765en_US
dc.identifier.issn0972-0510
dc.identifier.issn2169-0014
dc.identifier.issue5en_US
dc.identifier.startpage741en_US
dc.identifier.urihttps://doi.org/10.1080/09720510.2018.1453678
dc.identifier.urihttps://hdl.handle.net/11468/16844
dc.identifier.volume21en_US
dc.identifier.wosWOS:000440968500002
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoenen_US
dc.publisherTaru Publicationsen_US
dc.relation.ispartofJournal of Statistics & Management Systems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectErrors-In-Variablesen_US
dc.subjectCurvatureen_US
dc.subjectMaximum Likelihooden_US
dc.subjectNonlinear Modelen_US
dc.titleOn curvature measurements of the nonlinear errors in variable models by application studyen_US
dc.titleOn curvature measurements of the nonlinear errors in variable models by application study
dc.typeArticleen_US

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