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

 

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dc.contributor.advisor Troskie, Casper G en_ZA
dc.contributor.author Dunne, Timothy Terence en_ZA
dc.date.accessioned 2015-12-08T06:57:06Z
dc.date.available 2015-12-08T06:57:06Z
dc.date.issued 1982 en_ZA
dc.identifier.citation Dunne, T. 1982. Contributions to the theory of generalized inverses, the linear model and outliers. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/15668
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematical Statistics en_ZA
dc.title Contributions to the theory of generalized inverses, the linear model and outliers en_ZA
dc.type Doctoral Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Statistical Sciences en_ZA
dc.type.qualificationlevel Doctoral
dc.type.qualificationname PhD en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Dunne, 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/11427/15668 en_ZA
dc.identifier.chicagocitation Dunne, 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/11427/15668 en_ZA
dc.identifier.vancouvercitation Dunne 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/11427/15668 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


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