TESTING WITH THE ONE COMPONENT PARTIAL LEAST SQUARES AND THE MARGINAL MAXIMUM LIKELIHOOD ESTIMATORS

dc.contributor.advisorOlive, David
dc.contributor.authorAlshammari, Abdulaziz
dc.date.accessioned2024-07-17T07:35:46Z
dc.date.available2024-07-17T07:35:46Z
dc.date.issued2024-05-28
dc.description.abstractWe derive some large sample theory for the marginal maximum likelihood estimator for multiple linear regression. Then testing is considered for that estimator and the one component partial least squares estimator, including some high dimensional tests. Testing with these two estimators for the multiple linear regression model with heterogeneity and for the single index model is also considered.
dc.format.extent85
dc.identifier.urihttps://hdl.handle.net/20.500.14154/72619
dc.language.isoen_US
dc.publisherSouthern Illinois University Carbondale
dc.subjectData splitting
dc.subjectdimension reduction
dc.subjecthigh dimensional data
dc.subjectlasso
dc.subjectsingle index model.
dc.titleTESTING WITH THE ONE COMPONENT PARTIAL LEAST SQUARES AND THE MARGINAL MAXIMUM LIKELIHOOD ESTIMATORS
dc.typeThesis
sdl.degree.departmentMathematical and Statistical Sciences
sdl.degree.disciplineStatistics
sdl.degree.grantorSouthern Illinois University Carbondale
sdl.degree.nameDoctor of Philosophy

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