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Synopsis
A 2-inverse for a matrix A is any matrix G satisfying GAG=G. This book adresses the special, but heretofore ignored, role of 2-inverses in statistics. The relationship among various kinds of generalized inverses and their construction in terms of 2-inverses are explored. The applications discussed include the role of 2-inverses in: canonically representing second-degree polynomials x'Ax+b'x+c, obtaining vectors ß which satisfy K'ß=0 and minimize y'y-Xß(squared), and relating the hypotheses tested by various analytical approaches in generalized linear models. For each topic, the simplification of both the concepts and the notation which results from a 2-inverse approach is stressed and illustrated with examples.
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- PublisherSpringer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication date1988
- ISBN 10 3540968490
- ISBN 13 9783540968498
- BindingPaperback
- LanguageEnglish
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2-inverses and their statistical application.
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Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD conditon, some traces of use. Sw 1180 3540968490 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2085947
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