Theoretical Statistics: Topics for a Core Course (Springer Texts in Statistics). Robert W. Keener

Theoretical Statistics: Topics for a  Core  Course (Springer Texts in Statistics)



Download Theoretical Statistics: Topics for a Core Course (Springer Texts in Statistics)



Theoretical Statistics: Topics for a Core Course (Springer Texts in Statistics) Robert W. Keener ebook pdf
Publisher: Springer
Language: English
Page: 557
ISBN: 0387938389, 9780387938394

Review

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)

From the Back Cover

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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