ENGLISH

Theoretical Statistics: Topics for a Core Course

By Robert W. Keener (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2010
ISBN
0387938389, 9780387938387, 9780387938394
DOI
10.1007/978-0-387-93839-4
Language
english
Format
PDF
Filesize
3 MB (2989532 bytes)
Series
Springer Texts in Statistics
Edition
1
Pages
538\557
Library
Kolxo3
Time added
2011-06-04 13:46:07
Statistical Theory and Methods

Description

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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