Mathematical Statistics
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Mathematical Statistics

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Description

This graduate textbook covers topics in statistical theory essential for graduate students preparing for work on a Ph.D. degree in statistics. This new edition has been revised and updated and in this fourth printing, errors have been ironed out. The first chapter provides a quick overview of concepts and results in measure-theoretic probability theory that are useful in statistics. The second chapter introduces some fundamental concepts in statistical decision theory and inference. Subsequent chapters contain detailed studies on some important topics: unbiased estimation, parametric estimation, nonparametric estimation, hypothesis testing, and confidence sets. A large number of exercises in each chapter provide not only practice problems for students, but also many additional results.
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Product details

  • Hardback | 592 pages
  • 155 x 235 x 33.78mm | 2,270g
  • New York, NY, United States
  • English
  • Revised
  • 2nd ed. 2003. Corr. 4th printing 2007
  • XVI, 592 p.
  • 0387953825
  • 9780387953823
  • 1,072,393

Table of contents

Probability Theory * Fundamentals of Statistics * Unbiased Estimation * Estimation in Parametric Models * Estimation in Nonparametric Models * Hypothesis Tests * Confidence Sets
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Review Text

From the reviews of the second edition:

"The second edition of Mathematical Statistics continues to hold its identity among many other available books on mathematical statistics...The revised and updated version remains of high quality, and I recommend it for use as a text or reference book in a graduate statistics program." Journal of the American Statistical Association, September 2004

"The first edition of this book was published in 1999 ... . The main changes include addition of new material in Chapter 1, addition and deletion of a number of exercises, addition of two new sub-sections ... . The book remains valuable to instructors and graduate students of traditional mathematical statistics courses, specially for its large collection of problems and for its rigourous presentation." (Arup Bose, Sankhya: The Indian Journal of Statistics, Vol. 65 (3), 2003)

"This book is intended for an advanced postgraduate course in Mathematical Statistics, offered in a mathematically rigorous fashion. ... in order to get to grips with rigorous mathematical statistics, this is an ideal book. Also, as a reference book, it is ideally suited. ... Two particularly attractive features of the book are the large number of exercises at the end of each chapter - well over a hundred in each chapter, and the fact that asymptotic theory is studied throughout the book ... ." (Tertius de Wet, SASJ - South African Statistical Journal, March, 2004)
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Review quote

From the reviews of the second edition:

"The second edition of Mathematical Statistics continues to hold its identity among many other available books on mathematical statistics...The revised and updated version remains of high quality, and I recommend it for use as a text or reference book in a graduate statistics program." Journal of the American Statistical Association, September 2004

"The first edition of this book was published in 1999 ... . The main changes include addition of new material in Chapter 1, addition and deletion of a number of exercises, addition of two new sub-sections ... . The book remains valuable to instructors and graduate students of traditional mathematical statistics courses, specially for its large collection of problems and for its rigourous presentation." (Arup Bose, Sankhya: The Indian Journal of Statistics, Vol. 65 (3), 2003)

"This book is intended for an advanced postgraduate course in Mathematical Statistics, offered in a mathematically rigorous fashion. ... in order to get to grips with rigorous mathematical statistics, this is an ideal book. Also, as a reference book, it is ideally suited. ... Two particularly attractive features of the book are the large number of exercises at the end of each chapter - well over a hundred in each chapter, and the fact that asymptotic theory is studied throughout the book ... ." (Tertius de Wet, SASJ - South African Statistical Journal, March, 2004)
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About Jun Shao

Jun Shao is Professor of Statistics at the University of Wisconsin, Madison.
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Rating details

11 ratings
4.18 out of 5 stars
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4 36% (4)
3 9% (1)
2 9% (1)
1 0% (0)
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