Decomposition and Invariance of Measures, and Statistical Transformation Models:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
1989
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Schriftenreihe: | Lecture Notes in Statistics
58 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | 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 |
Beschreibung: | 1 Online-Ressource (V, 147p) |
ISBN: | 9781461236825 9780387971315 |
ISSN: | 0930-0325 |
DOI: | 10.1007/978-1-4612-3682-5 |
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Datensatz im Suchindex
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any_adam_object | |
author | Barndorff-Nielsen, Ole E. |
author_facet | Barndorff-Nielsen, Ole E. |
author_role | aut |
author_sort | Barndorff-Nielsen, Ole E. |
author_variant | o e b n oeb oebn |
building | Verbundindex |
bvnumber | BV042420150 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)863735620 (DE-599)BVBBV042420150 |
dewey-full | 519.5 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.5 |
dewey-search | 519.5 |
dewey-sort | 3519.5 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4612-3682-5 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:06Z |
institution | BVB |
isbn | 9781461236825 9780387971315 |
issn | 0930-0325 |
language | English |
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publishDateSearch | 1989 |
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publisher | Springer New York |
record_format | marc |
series2 | Lecture Notes in Statistics |
spelling | Barndorff-Nielsen, Ole E. Verfasser aut Decomposition and Invariance of Measures, and Statistical Transformation Models by Ole E. Barndorff-Nielsen, Preben Blæsild, Poul Svante Eriksen New York, NY Springer New York 1989 1 Online-Ressource (V, 147p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Statistics 58 0930-0325 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 Statistics Statistics, general Statistik Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Invariantes Maß (DE-588)4352361-4 gnd rswk-swf Zerlegung Mathematik (DE-588)4190746-2 gnd rswk-swf Invarianz (DE-588)4120518-2 gnd rswk-swf Dekomposition (DE-588)4149030-7 gnd rswk-swf Maß Mathematik (DE-588)4037856-1 gnd rswk-swf Transformationsmodell (DE-588)4232478-6 gnd rswk-swf Transformationsgruppe (DE-588)4127386-2 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Maß Mathematik (DE-588)4037856-1 s Zerlegung Mathematik (DE-588)4190746-2 s Invarianz (DE-588)4120518-2 s 1\p DE-604 Invariantes Maß (DE-588)4352361-4 s Statistik (DE-588)4056995-0 s 2\p DE-604 Dekomposition (DE-588)4149030-7 s 3\p DE-604 Transformationsmodell (DE-588)4232478-6 s 4\p DE-604 Stochastisches Modell (DE-588)4057633-4 s 5\p DE-604 Transformationsgruppe (DE-588)4127386-2 s 6\p DE-604 Maßtheorie (DE-588)4074626-4 s 7\p DE-604 Blæsild, Preben Sonstige oth Eriksen, Poul Svante Sonstige oth https://doi.org/10.1007/978-1-4612-3682-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 7\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Barndorff-Nielsen, Ole E. Decomposition and Invariance of Measures, and Statistical Transformation Models Statistics Statistics, general Statistik Stochastisches Modell (DE-588)4057633-4 gnd Maßtheorie (DE-588)4074626-4 gnd Invariantes Maß (DE-588)4352361-4 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd Invarianz (DE-588)4120518-2 gnd Dekomposition (DE-588)4149030-7 gnd Maß Mathematik (DE-588)4037856-1 gnd Transformationsmodell (DE-588)4232478-6 gnd Transformationsgruppe (DE-588)4127386-2 gnd Statistik (DE-588)4056995-0 gnd |
subject_GND | (DE-588)4057633-4 (DE-588)4074626-4 (DE-588)4352361-4 (DE-588)4190746-2 (DE-588)4120518-2 (DE-588)4149030-7 (DE-588)4037856-1 (DE-588)4232478-6 (DE-588)4127386-2 (DE-588)4056995-0 |
title | Decomposition and Invariance of Measures, and Statistical Transformation Models |
title_auth | Decomposition and Invariance of Measures, and Statistical Transformation Models |
title_exact_search | Decomposition and Invariance of Measures, and Statistical Transformation Models |
title_full | Decomposition and Invariance of Measures, and Statistical Transformation Models by Ole E. Barndorff-Nielsen, Preben Blæsild, Poul Svante Eriksen |
title_fullStr | Decomposition and Invariance of Measures, and Statistical Transformation Models by Ole E. Barndorff-Nielsen, Preben Blæsild, Poul Svante Eriksen |
title_full_unstemmed | Decomposition and Invariance of Measures, and Statistical Transformation Models by Ole E. Barndorff-Nielsen, Preben Blæsild, Poul Svante Eriksen |
title_short | Decomposition and Invariance of Measures, and Statistical Transformation Models |
title_sort | decomposition and invariance of measures and statistical transformation models |
topic | Statistics Statistics, general Statistik Stochastisches Modell (DE-588)4057633-4 gnd Maßtheorie (DE-588)4074626-4 gnd Invariantes Maß (DE-588)4352361-4 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd Invarianz (DE-588)4120518-2 gnd Dekomposition (DE-588)4149030-7 gnd Maß Mathematik (DE-588)4037856-1 gnd Transformationsmodell (DE-588)4232478-6 gnd Transformationsgruppe (DE-588)4127386-2 gnd Statistik (DE-588)4056995-0 gnd |
topic_facet | Statistics Statistics, general Statistik Stochastisches Modell Maßtheorie Invariantes Maß Zerlegung Mathematik Invarianz Dekomposition Maß Mathematik Transformationsmodell Transformationsgruppe |
url | https://doi.org/10.1007/978-1-4612-3682-5 |
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