Synopses & Reviews
This book consists of four hundred exercises in mathematical statistics and their solutions, over 95% of which are in the author's Mathematical Statistics, Second Edition (Springer, 2003). For students preparing for work on a Ph.D. degree in statistics and instructors of mathematical statistics courses, this useful book provides solutions to train students for their research ability in mathematical statistics and presents many additional results and examples that complement any text in mathematical statistics. To develop problem-solving skills, two solutions and/or notes of brief discussions accompany a few exercises. The exercises are grouped into seven chapters with titles matching those in the author's Mathematical Statistics. On the other hand, the book is stand-alone because exercises and solutions are comprehensible independently of their source, and notation and terminology are explained in the front of the book. Readers are assumed to have a good knowledge in advanced calculus. A course in real analysis or measure theory is highly recommended. If this book is used with a statistics textbook that does not include probability theory, then knowledge in measure-theoretic probability theory is required. Jun Shao is Professor of Statistics at the University of Wisconsin, Madison.
Review
From the reviews: "This book contains 400 exercises with their detailed solutions. ... It has an extensive list of notations and terminologies and can be used as a stand-alone book. This book will be very useful to Statistics students studying towards an M.Sc or a Ph.D. degree, by helping them to develop problem solving skills ... . It will be useful to their teachers as a source of solved exercises. The list of 26 distributions given at the beginning will also be useful for ready reference." (Mausumi Bose, Sankhya, Vol. 67 (4), 2005) "The exercise book accompanies an excellent text book for a graduate course in mathematical statistics ... and is an excellent support for the book. The exercise book is excellent by itself also: a challenging collection of problems in mathematical statistics. ... Using both however, the textbook and the exercise book, the mathematical statistician will enjoy the wealth of interesting problems." (Götz Uebe, Allgemeines Statistisches Archiv, Issue 2, 2005) "This book consists of solutions to 400 exercises in the general theory of mathematical statistics ... . The solutions of the exercises are thorough and explain the different steps in great detail. These solutions will certainly help students to a better understanding of the many complicated issues in the theory. This book is thus a valuable contribution to the teaching materials currently available." (Jon Stene, Mathematical Reviews, Issue 2006 b) "This collection consists of 400 exercises and their solutions. Most of the exercises (over 95%) are introduced in the cited textbook. ... The collection is a stand-alone book. It is written very rigorously and solutions are presented in detail. It can be recommended as a source of solved problems for teachers and students of advanced mathematical statistics." (EMS Newsletter, June, 2006)
Synopsis
This book consists of solutions to four hundred exercises, over 95% of which are in the author's Mathematical Statistics. That textbook covers topics in statistical theory essential for graduate students preparing for work on a Ph.D. degree in statistics.
On the other hand, this is a stand-alone book, since exercises and solutions are comprehensible independently of their source. Many solutions involve standard exercises that appear in other textbooks listed in the references. To help readers not using this book with Mathematical Statistics, lists of notation, terminology, and some probability distributions are given in the front of the book.
Readers are assumed to have a good knowledge in advanced calculus. A course in real analysis or measure theory is highly recommended. If this book is used with a statistics textbook that does not include probability theory, then knowledge in measure-theoretic probability theory is required. The exercises are grouped into seven chapters with titles matching those in Mathematical Statistics.
Synopsis
Since the publication of my book Mathematical Statistics (Shao, 2003), I have been asked many times for a solution manual to the exercises in my book. Without doubt, exercises form an important part of a textbook on mathematical statistics, not only in training students for their research ability in mathematical statistics but also in presenting many additional results as complementary material to the main text. Written solutions to these exercises are important for students who initially do not have the skills in solving these exercises completely and are very helpful for instructors of a mathematical statistics course (whether or not my book Mathematical Statistics is used as the textbook) in providing answers to students as well as ?nding additional examples to the main text. Mo- vatedbythisandencouragedbysomeofmycolleaguesandSpringer-Verlag editor John Kimmel, I have completed this book, Mathematical Statistics: Exercises and Solutions. This book consists of solutions to 400 exercises, over 95% of which are in my bookMathematical Statistics. Many of them are standard exercises that also appear in other textbooks listed in the references. It is only a partial solution manual to Mathematical Statistics (which contains over 900exercises)
Synopsis
Jun Shao is Professor of Statistics at the University of Wisconsin, Madison.
Synopsis
The exercises are grouped into seven chapters with titles matching those in the author's Mathematical Statistics. Can also be used as a stand-alone because exercises and solutions are comprehensible independently of their source, and notation and terminology are explained in the front of the book. Suitable for self-study for a statistics Ph.D. qualifying exam.
Table of Contents
Probability Theory.- Fundamentals of Statistics.- Unbiased Estimation .- Estimation in Parametric Models.- Estimation in Nonparametric Models.- Hypothesis Tests.- Confidence Sets.