Mathematical statistics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1999
|
| Schriftenreihe: | Springer Texts in Statistics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is intended for a course entitled Mathematical Statistics o?ered at the Department of Statistics, University of Wisconsin-Madison. This course, taught in a mathematically rigorous fashion, covers essential - terials in statistical theory that a ?rst or second year graduate student typically needs to learn as preparation for work on a Ph. D. degree in stat- tics. The course is designed for two 15-week semesters, with three lecture hours and two discussion hours in each week. Students in this course are assumed to have a good knowledge of advanced calculus. A course in real analysis or measure theory prior to this course is often recommended. Chapter 1 provides a quick overview of important concepts and results in measure-theoretic probability theory that are used as tools in the rest of the book. Chapter 2 introduces some fundamental concepts in statistics, including statistical models, the principle of su?ciency in data reduction, and two statistical approaches adopted throughout the book: statistical decision theory and statistical inference. Each of Chapters 3 through 7 provides a detailed study of an important topic in statistical decision t- ory and inference; Chapter 3 introduces the theory of unbiased estimation; Chapter 4 studies theory and methods in point estimation under param- ric models; Chapter 5 covers point estimation in nonparametric settings; Chapter 6 focuses on hypothesis testing; and Chapter 7 discusses int- val estimation and con?dence sets |
| Beschreibung: | 1 Online-Ressource (XIV, 530 p) |
| ISBN: | 9780387227597 |
| ISSN: | 1431-875X |
| DOI: | 10.1007/b98900 |
Internformat
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| 650 | 4 | |a Statistics | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Shao, Jun |
| author_GND | (DE-588)170899543 |
| author_facet | Shao, Jun |
| author_role | aut |
| author_sort | Shao, Jun |
| author_variant | j s js |
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| bvnumber | BV042419109 |
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| ctrlnum | (OCoLC)704468676 (DE-599)BVBBV042419109 |
| 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 Wirtschaftswissenschaften |
| doi_str_mv | 10.1007/b98900 |
| format | Electronic eBook |
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| isbn | 9780387227597 |
| issn | 1431-875X |
| language | English |
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| spelling | Shao, Jun Verfasser (DE-588)170899543 aut Mathematical statistics by Jun Shao New York, NY Springer New York 1999 1 Online-Ressource (XIV, 530 p) txt rdacontent c rdamedia cr rdacarrier Springer Texts in Statistics 1431-875X This book is intended for a course entitled Mathematical Statistics o?ered at the Department of Statistics, University of Wisconsin-Madison. This course, taught in a mathematically rigorous fashion, covers essential - terials in statistical theory that a ?rst or second year graduate student typically needs to learn as preparation for work on a Ph. D. degree in stat- tics. The course is designed for two 15-week semesters, with three lecture hours and two discussion hours in each week. Students in this course are assumed to have a good knowledge of advanced calculus. A course in real analysis or measure theory prior to this course is often recommended. Chapter 1 provides a quick overview of important concepts and results in measure-theoretic probability theory that are used as tools in the rest of the book. Chapter 2 introduces some fundamental concepts in statistics, including statistical models, the principle of su?ciency in data reduction, and two statistical approaches adopted throughout the book: statistical decision theory and statistical inference. Each of Chapters 3 through 7 provides a detailed study of an important topic in statistical decision t- ory and inference; Chapter 3 introduces the theory of unbiased estimation; Chapter 4 studies theory and methods in point estimation under param- ric models; Chapter 5 covers point estimation in nonparametric settings; Chapter 6 focuses on hypothesis testing; and Chapter 7 discusses int- val estimation and con?dence sets Statistics Mathematical statistics Statistical Theory and Methods Statistik Statistik (DE-588)4056995-0 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Statistik (DE-588)4056995-0 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-387-98674-6 https://doi.org/10.1007/b98900 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Shao, Jun Mathematical statistics Statistics Mathematical statistics Statistical Theory and Methods Statistik Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4143389-0 |
| title | Mathematical statistics |
| title_auth | Mathematical statistics |
| title_exact_search | Mathematical statistics |
| title_full | Mathematical statistics by Jun Shao |
| title_fullStr | Mathematical statistics by Jun Shao |
| title_full_unstemmed | Mathematical statistics by Jun Shao |
| title_short | Mathematical statistics |
| title_sort | mathematical statistics |
| topic | Statistics Mathematical statistics Statistical Theory and Methods Statistik Statistik (DE-588)4056995-0 gnd |
| topic_facet | Statistics Mathematical statistics Statistical Theory and Methods Statistik Aufgabensammlung |
| url | https://doi.org/10.1007/b98900 |
| work_keys_str_mv | AT shaojun mathematicalstatistics |