A new approach in modelling the circular data: circular ridge estimator

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dc.authoridSöküt Açar, Tuğba / 0000-0002-4444-1671
dc.contributor.authorSöküt Açar, Tuğba
dc.date.accessioned2025-01-27T20:49:37Z
dc.date.available2025-01-27T20:49:37Z
dc.date.issued2023
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractDifferent regression models that use circular data supported on the unit circle are rare. Regression parameters for circular data have mostly been estimated using the least-squares method. This paper addresses multicollinearity between the circular regressors. The ridge estimator is suggested as an alternative to the least-squares estimator in circular-linear regression model. The models fitted by the circular least-squares and circular ridge estimators are compared on real and simulated datasets. The mean squared error and the coefficient of determination are used to assess the models' adequacy. The findings demonstrated that the fitted models might not be significant if the circularity of the data is ignored. Circular regression on circular data shows the model to be significant. Although the two estimators' coefficients of determination for circular models are quite close, the circular ridge estimator with the optimum biasing parameter has a smaller scalar mean square error than the circular least-squares estimator.
dc.identifier.doi10.1080/00949655.2022.2127719
dc.identifier.endpage683
dc.identifier.issn0094-9655
dc.identifier.issn1563-5163
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85140054321
dc.identifier.scopusqualityQ2
dc.identifier.startpage671
dc.identifier.urihttps://doi.org/10.1080/00949655.2022.2127719
dc.identifier.urihttps://hdl.handle.net/20.500.12428/25249
dc.identifier.volume93
dc.identifier.wosWOS:000861994600001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofJournal of Statistical Computation and Simulation
dc.relation.publicationcategoryinfo:eu-repo/semantics/closedAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectBiased estimation
dc.subjectcircular modelling
dc.subjectcircular-linear model
dc.subjectmulticollinearity
dc.titleA new approach in modelling the circular data: circular ridge estimator
dc.typeArticle

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