Decomposition and Invariance of Measures, and Statistical Transformation Models (Lecture Notes in Statistics): 58 - Brossura
Sinossi
The present set of notes grew out of our interest in the study of statistical transformation models, in particular exponential transfor- mation models. The latter class comprises as special cases all fully tractable models for mUltivariate normal observations. The theory of decomposition and invariance of measures provides essential tools for the study of transformation models. While the major aspects of that theory are treated in a number of mathematical monographs, mostly as part of much broader contexts, we have found no single account in the literature which is sufficiently comprehensive for statistical pur- poses. This volume aims to fill the gap and to indicate the usefulness of measure decomposition and invariance theory for the methodology of statistical transformation models. In the course of the work with these notes we have benefitted much from discussions with steen Arne Andersson, J0rgen Hoffmann-J0rgensen and J0rgen Granfeldt Petersen. We are also very indebted to Jette Ham- borg and Oddbj0rg Wethelund for their eminent secretarial assistance.
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Contenuti
1. Introduction.- 2. Topological groups and actions.- 3. Matrix Lie groups.- 4. Invariant, relatively invariant, and quasi-invariant measures.- 5. Decomposition and factorization of measures.- 6. Construction of invariant measures.- 7. Exterior calculus.- 8. Statistical transformation models.- Further results and exercises.- References, with author index.- Notation index.
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Book by BarndorffNielsen Ole E Blaesild Preben Eriksen Pou
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The present set of notes grew out of our interest in the study of statistical transformation models, in particular exponential transfor mation models. The latter class comprises as special cases all fully tractable models for mUltivariate normal observations. The theory of decomposition and invariance of measures provides essential tools for the study of transformation models. While the major aspects of that theory are treated in a number of mathematical monographs, mostly as part of much broader contexts, we have found no single account in the literature which is sufficiently comprehensive for statistical pur poses. This volume aims to fill the gap and to indicate the usefulness of measure decomposition and invariance theory for the methodology of statistical transformation models. In the course of the work with these notes we have benefitted much from discussions with steen Arne Andersson, J0rgen Hoffmann-J0rgensen and J0rgen Granfeldt Petersen. We are also very indebted to Jette Ham borg and Oddbj0rg Wethelund for their eminent secretarial assistance. 160 pp. Englisch. Codice articolo 9780387971315
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 1. Introduction.- 2. Topological groups and actions.- 3. Matrix Lie groups.- 4. Invariant, relatively invariant, and quasi-invariant measures.- 5. Decomposition and factorization of measures.- 6. Construction of invariant measures.- 7. Exterior calculus.- 8. Codice articolo 5912921
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Taschenbuch. Condizione: Neu. Decomposition and Invariance of Measures, and Statistical Transformation Models | Ole E Barndorff-Nielsen (u. a.) | Taschenbuch | v | Englisch | 1989 | Humana | EAN 9780387971315 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 107101980
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The present set of notes grew out of our interest in the study of statistical transformation models, in particular exponential transfor mation models. The latter class comprises as special cases all fully tractable models for mUltivariate normal observations. The theory of decomposition and invariance of measures provides essential tools for the study of transformation models. While the major aspects of that theory are treated in a number of mathematical monographs, mostly as part of much broader contexts, we have found no single account in the literature which is sufficiently comprehensive for statistical pur poses. This volume aims to fill the gap and to indicate the usefulness of measure decomposition and invariance theory for the methodology of statistical transformation models. In the course of the work with these notes we have benefitted much from discussions with steen Arne Andersson, J0rgen Hoffmann-J0rgensen and J0rgen Granfeldt Petersen. We are also very indebted to Jette Ham borg and Oddbj0rg Wethelund for their eminent secretarial assistance.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 160 pp. Englisch. Codice articolo 9780387971315
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The present set of notes grew out of our interest in the study of statistical transformation models, in particular exponential transfor mation models. The latter class comprises as special cases all fully tractable models for mUltivariate normal observations. The theory of decomposition and invariance of measures provides essential tools for the study of transformation models. While the major aspects of that theory are treated in a number of mathematical monographs, mostly as part of much broader contexts, we have found no single account in the literature which is sufficiently comprehensive for statistical pur poses. This volume aims to fill the gap and to indicate the usefulness of measure decomposition and invariance theory for the methodology of statistical transformation models. In the course of the work with these notes we have benefitted much from discussions with steen Arne Andersson, J0rgen Hoffmann-J0rgensen and J0rgen Granfeldt Petersen. We are also very indebted to Jette Ham borg and Oddbj0rg Wethelund for their eminent secretarial assistance. Codice articolo 9780387971315
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