Series Approximation Methods in Statistics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1994
|
| Schriftenreihe: | Lecture Notes in Statistics
88 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book was originally compiled for a course I taught at the University of Rochester in the fall of 1991, and is intended to give advanced graduate students in statistics an introduction to Edgeworth and saddlepoint approximations, and related techniques. Many other authors have also written monographs on this subject, and so this work is narrowly focused on two areas not recently discussed in theoretical text books. These areas are, first, a rigorous consideration of Edgeworth and saddlepoint expansion limit theorems, and second, a survey of the more recent developments in the field. In presenting expansion limit theorems I have drawn heavily 011 notation of McCullagh (1987) and on the theorems presented by Feller (1971) on Edgeworth expansions. For saddlepoint notation and results I relied most heavily on the many papers of Daniels, and a review paper by Reid (1988). Throughout this book I have tried to maintain consistent notation and to present theorems in such a way as to make a few theoretical results useful in as many contexts as possible. This was not only in order to present as many results with as few proofs as possible, but more importantly to show the interconnections between the various facets of asymptotic theory. Special attention is paid to regularity conditions. The reasons they are needed and the parts they play in the proofs are both highlighted |
| Beschreibung: | 1 Online-Ressource (VIII, 153 p) |
| ISBN: | 9781475742756 9780387942773 |
| ISSN: | 0930-0325 |
| DOI: | 10.1007/978-1-4757-4275-6 |
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Datensatz im Suchindex
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| author | Kolassa, John E. 1963- |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV042421596 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475742756 9780387942773 |
| issn | 0930-0325 |
| language | English |
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| publishDate | 1994 |
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| series2 | Lecture Notes in Statistics |
| spelling | Kolassa, John E. 1963- Verfasser (DE-588)106849459X aut Series Approximation Methods in Statistics by John E. Kolassa New York, NY Springer New York 1994 1 Online-Ressource (VIII, 153 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Statistics 88 0930-0325 This book was originally compiled for a course I taught at the University of Rochester in the fall of 1991, and is intended to give advanced graduate students in statistics an introduction to Edgeworth and saddlepoint approximations, and related techniques. Many other authors have also written monographs on this subject, and so this work is narrowly focused on two areas not recently discussed in theoretical text books. These areas are, first, a rigorous consideration of Edgeworth and saddlepoint expansion limit theorems, and second, a survey of the more recent developments in the field. In presenting expansion limit theorems I have drawn heavily 011 notation of McCullagh (1987) and on the theorems presented by Feller (1971) on Edgeworth expansions. For saddlepoint notation and results I relied most heavily on the many papers of Daniels, and a review paper by Reid (1988). Throughout this book I have tried to maintain consistent notation and to present theorems in such a way as to make a few theoretical results useful in as many contexts as possible. This was not only in order to present as many results with as few proofs as possible, but more importantly to show the interconnections between the various facets of asymptotic theory. Special attention is paid to regularity conditions. The reasons they are needed and the parts they play in the proofs are both highlighted Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Statistik (DE-588)4056995-0 gnd rswk-swf Edgeworth-Reihe (DE-588)4296960-8 gnd rswk-swf Asymptotische Statistik (DE-588)4203167-9 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Sattelpunkt-Reihe (DE-588)4341419-9 gnd rswk-swf Reihenentwicklung (DE-588)4153066-4 gnd rswk-swf Edgeworth-Reihe (DE-588)4296960-8 s Approximation (DE-588)4002498-2 s 1\p DE-604 Sattelpunkt-Reihe (DE-588)4341419-9 s 2\p DE-604 Reihenentwicklung (DE-588)4153066-4 s Statistik (DE-588)4056995-0 s 3\p DE-604 Asymptotische Statistik (DE-588)4203167-9 s 4\p DE-604 https://doi.org/10.1007/978-1-4757-4275-6 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 |
| spellingShingle | Kolassa, John E. 1963- Series Approximation Methods in Statistics Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Statistik (DE-588)4056995-0 gnd Edgeworth-Reihe (DE-588)4296960-8 gnd Asymptotische Statistik (DE-588)4203167-9 gnd Approximation (DE-588)4002498-2 gnd Sattelpunkt-Reihe (DE-588)4341419-9 gnd Reihenentwicklung (DE-588)4153066-4 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4296960-8 (DE-588)4203167-9 (DE-588)4002498-2 (DE-588)4341419-9 (DE-588)4153066-4 |
| title | Series Approximation Methods in Statistics |
| title_auth | Series Approximation Methods in Statistics |
| title_exact_search | Series Approximation Methods in Statistics |
| title_full | Series Approximation Methods in Statistics by John E. Kolassa |
| title_fullStr | Series Approximation Methods in Statistics by John E. Kolassa |
| title_full_unstemmed | Series Approximation Methods in Statistics by John E. Kolassa |
| title_short | Series Approximation Methods in Statistics |
| title_sort | series approximation methods in statistics |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Statistik (DE-588)4056995-0 gnd Edgeworth-Reihe (DE-588)4296960-8 gnd Asymptotische Statistik (DE-588)4203167-9 gnd Approximation (DE-588)4002498-2 gnd Sattelpunkt-Reihe (DE-588)4341419-9 gnd Reihenentwicklung (DE-588)4153066-4 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Statistik Edgeworth-Reihe Asymptotische Statistik Approximation Sattelpunkt-Reihe Reihenentwicklung |
| url | https://doi.org/10.1007/978-1-4757-4275-6 |
| work_keys_str_mv | AT kolassajohne seriesapproximationmethodsinstatistics |