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Theoretical statistics topics for a core course /
Intended as the text for a sequence of advanced courses, this book covers major topics in theoretical statistics in a concise and rigorous fashion. The discussion assumes a background in advanced calculus, linear algebra, probability, and some analysis and topology. Measure theory is used, but the n...
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| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
[2010]
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| Series: | Springer texts in statistics.
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| Physical Description: |
1 online resource (xvii, 538 pages) : illustrations. |
| Subjects: | |
| Online Access: | SpringerLink - Click here for access |
| Summary: | Intended as the text for a sequence of advanced courses, this book covers major topics in theoretical statistics in a concise and rigorous fashion. The discussion assumes a background in advanced calculus, linear algebra, probability, and some analysis and topology. Measure theory is used, but the notation and basic results needed are presented in an initial chapter on probability, so prior knowledge of these topics is not essential. The presentation is designed to expose students to as many of the central ideas and topics in the discipline as possible, balancing various approaches to inference as well as exact, numerical, and large sample methods. Moving beyond more standard material, the book includes chapters introducing bootstrap methods, nonparametric regression, equivariant estimation, empirical Bayes, and sequential design and analysis. The book has a rich collection of exercises. Several of them illustrate how the theory developed in the book may be used in various applications. Solutions to many of the exercises are included in an appendix. Robert Keener is Professor of Statistics at the University of Michigan and a fellow of the Institute of Mathematical Statistics. |
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| Language Note: |
English. |
| Physical Description: |
1 online resource (xvii, 538 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9780387938394 0387938397 0387938389 9780387938387 1280391030 9781280391033 9786613568953 6613568953 |