Contributions to the theory of generalized inverses, the linear model and outliers

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dc.contributor.advisorTroskie, Casper Gen_ZA
dc.contributor.authorDunne, Timothy Terenceen_ZA
dc.date.accessioned2015-12-08T06:57:06Z
dc.date.available2015-12-08T06:57:06Z
dc.date.issued1982en_ZA
dc.description.abstractColumn-space conditions are shown to be at the heart of a number of identities linking generalized inverses of rectangular matrices. These identities give some new insights into reparametrizations of the general linear model, and into the imposition of constraints, when the variance-covariance structure is σ².I. Hypothesis-test statistics for non-estimable functions are shown to give no further information than underlying estimable functions. For an arbitrary variance-covariance structure the "sweep-out" method is generalized. The John and Draper model for outliers is extended, and distributional results established. Some diagnostic statistics for outlying or influential observations are considered. A Bayesian formulation of outliers in the general linear model is attempted.en_ZA
dc.identifier.apacitationDunne, T. T. (1982). <i>Contributions to the theory of generalized inverses, the linear model and outliers</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Statistical Sciences. Retrieved from http://hdl.handle.net/11427/15668en_ZA
dc.identifier.chicagocitationDunne, Timothy Terence. <i>"Contributions to the theory of generalized inverses, the linear model and outliers."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Statistical Sciences, 1982. http://hdl.handle.net/11427/15668en_ZA
dc.identifier.citationDunne, T. 1982. Contributions to the theory of generalized inverses, the linear model and outliers. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Dunne, Timothy Terence AB - Column-space conditions are shown to be at the heart of a number of identities linking generalized inverses of rectangular matrices. These identities give some new insights into reparametrizations of the general linear model, and into the imposition of constraints, when the variance-covariance structure is σ².I. Hypothesis-test statistics for non-estimable functions are shown to give no further information than underlying estimable functions. For an arbitrary variance-covariance structure the "sweep-out" method is generalized. The John and Draper model for outliers is extended, and distributional results established. Some diagnostic statistics for outlying or influential observations are considered. A Bayesian formulation of outliers in the general linear model is attempted. DA - 1982 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1982 T1 - Contributions to the theory of generalized inverses, the linear model and outliers TI - Contributions to the theory of generalized inverses, the linear model and outliers UR - http://hdl.handle.net/11427/15668 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/15668
dc.identifier.vancouvercitationDunne TT. Contributions to the theory of generalized inverses, the linear model and outliers. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Statistical Sciences, 1982 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/15668en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Statistical Sciencesen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematical Statisticsen_ZA
dc.titleContributions to the theory of generalized inverses, the linear model and outliersen_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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