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The Linear Model and Hypothesis: A General Unifying Theory (Springer Series in Statistics) - Softcover

Buch 140 von 160: Springer Series in Statistics

Seber, George A. F.

 
9783319349176: The Linear Model and Hypothesis: A General Unifying Theory (Springer Series in Statistics)
Softcover
ISBN 10: 3319349171 ISBN 13: 9783319349176
Verlag: Springer, 2016

Inhaltsangabe

This book provides a concise and integrated overview of hypothesis testing in four important subject areas, namely linear and nonlinear models, multivariate analysis, and large sample theory. The approach used is a geometrical one based on the concept of projections and their associated idempotent matrices, thus largely avoiding the need to involvematrix ranks. It is shown that all the hypotheses encountered are either linear or asymptotically linear, and that all the underlying models used are either exactly or asymptotically linear normal models. This equivalence can be used, for example, to extend the concept of orthogonality to other models in the analysis of variance, and to show that the asymptotic equivalence of the likelihood ratio, Wald, and Score (Lagrange Multiplier) hypothesis tests generally applies.

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Über die Autorin bzw. den Autor

George Seber is an Emeritus Professor of Statistics at Auckland University, New Zealand. He is an elected Fellow of the Royal Society of New Zealand, recipient of their Hector medal in Information Science, and recipient of an international Distinguished Statistical Ecologist Award. He has authored or coauthored 16 books and 90 research articles on a wide variety of topics including linear and nonlinear models, multivariate analysis, matrix theory for statisticians, large sample theory, adaptive sampling, genetics, epidemiology, and statistical ecology.

Von der hinteren Coverseite

This book provides a concise and integrated overview of hypothesis testing in four important subject areas, namely linear and nonlinear models, multivariate analysis, and large sample theory. The approach used is a geometrical one based on the concept of projections and their associated idempotent matrices, thus largely avoiding the need to involve matrix ranks. It is shown that all the hypotheses encountered are either linear or asymptotically linear, and that all the underlying models used are either exactly or asymptotically linear normal models. This equivalence can be used, for example, to extend the concept of orthogonality in the analysis of variance to other models, and to show that the asymptotic equivalence of the likelihood ratio, Wald, and Score (Lagrange Multiplier) hypothesis tests generally applies.

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Verlag
Springer
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
3319349171
ISBN 13 
9783319349176
Einband
Taschenbuch
Anzahl der Seiten
216
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Deutschland

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9783319219295: The Linear Model and Hypothesis: A General Unifying Theory (Springer Series in Statistics)

Vorgestellte Ausgabe

ISBN 10:  3319219294 ISBN 13:  9783319219295
Verlag: Springer, 2015
Hardcover