Springer Texts in Statistics

Theoretical Statistics

Topics for a Core Course

Authors: Keener, Robert W.

  • Comprehensive coverage of estimation and hypothesis testing, frequentist and Bayesian paradigms, large and small sample methods, and the theory underlying numerical algorithms
  • Detailed and rigorous exposition designed to make the material clear and accessible
  • Rich collection of exercises, many with solutions, pushing students to learn the material well enough to use it in their own research and helping them appreciate its relevance to diverse applications
see more benefits

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-0-387-93839-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-387-93838-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4614-2670-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Robert Keener is Professor of Statistics at the University of Michigan and a fellow of the Institute of Mathematical Statistics.

Reviews

From the reviews:

“The book is innovative in the presentation and in mashing the traditional material with modern topics. The presentation shows a great mastery of the subject. … recommended to someone who has a working knowledge of statistics and would like to learn more about the theory. … As a text for a course, the book is versatile. … The mathematical level is correct for a first year graduate course and may be appropriate at some universities for courses whose primary audience is seniors.” (Stephan Morgenthaler, Mathematical Reviews, Issue 2011 m)

“This volume provides an excellent course in the mathematical theory underlying statistical ideas and methods, for advanced … students. The amount of material covered is indicated by the fact that it evolved from a three-semester sequence of courses given by the author. Its suitability as a course text is materially aided by very extensive exercises, along with solutions to selected exercises. Anyone who works through this book will end up with a first class understanding of the mathematical ideas underlying modern statistical concepts and methods.” (David J. Hand, International Statistical Review, Vol. 80 (1), 2012)

“The book extensively covers classic and modern topics of theoretical statistics in a rigorous manner. … The book provides more than 400 exercise problems. … There are many books on statistical theory but very few have such great breadth and scope of materials as this book. … the book is well written and it is a great addition to the collection of books on statistical theory. … It will serve well both as a textbook and a reference book.” (Xianggui Qu, Technometrics, Vol. 53 (3), August, 2011)


Table of contents (20 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-0-387-93839-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-387-93838-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4614-2670-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Theoretical Statistics
Book Subtitle
Topics for a Core Course
Authors
Series Title
Springer Texts in Statistics
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-387-93839-4
DOI
10.1007/978-0-387-93839-4
Hardcover ISBN
978-0-387-93838-7
Softcover ISBN
978-1-4614-2670-7
Series ISSN
1431-875X
Edition Number
1
Number of Pages
XVIII, 538
Topics