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

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dc.contributor.author Dunne TT en
dc.date.accessioned 2016-09-22T09:11:33Z
dc.date.available 2016-09-22T09:11:33Z
dc.date.created 1980 en
dc.date.submitted 1982 en
dc.identifier.uri http://hdl.handle.net/20.500.11892/46306
dc.description.abstract Demonstrates that column-space conditions are at the heart of a number of identities linking generalised 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 s�.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 generalised. 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
dc.language English en
dc.subject Mathematics, Mathematical statistics and Statistics en
dc.subject Mathematical statistics en
dc.title Contributions to the theory of generalized inverses, The linear model and outliers en
dc.type Doctoral degree en
dc.description.degree PhD en


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