# Mathematical Statistics

## A Unified Introduction

• Wide audience, it will serve as an important reference for anyone in statistics and the applied disciplines *

• The book aims to be mathematically complete: every formula is derived, and every theorem proved at the appropriate level *

• Each new concept is introduced and exemplified by interesting statistical problems; and more abstract concepts appear only gradually *

• Emphasizes modeling of experimental data while avoiding abstract probability and distribution theory *

• Users are led to do mathematical statistics, not just to appreciate it, with the assistance of 500 interesting exercises

Textbook

Part of the Springer Texts in Statistics book series (STS)

1. Front Matter
Pages i-xxiii
2. Pages 1-7
3. Pages 9-49
4. Pages 51-87
5. Pages 89-113
6. Pages 115-144
7. Pages 175-208
8. Pages 209-243
9. Pages 245-273
10. Pages 341-373
11. Pages 375-402
12. Pages 403-436
13. Back Matter
Pages 437-454

### Introduction

Whyanothertextbook? The statistical community generally agrees that at the upper undergraduate level, or the beginning master’s level, students of statistics should begin to study the mathematical methods of the ?eld. We assume that by thentheywillhavestudiedtheusualtwo yearcollegesequence,includingcalculus through multiple integrals and the basics of matrix algebra. Therefore, they are ready to learn the foundations of their subject, in much more depth than is usual in an applied, “cookbook,” introduction to statistical methodology. There are a number of well written, widely used textbooks for such a course. These seem to re?ect a consensus for what needs to be taught and how it should be taught. So, why do we need yet another book for this spot in the curriculum? I learned mathematical statistics with the help of the standard texts. Since then, Ihavetaughtthiscourseandsimilaronesmanytimes,atseveraldifferentuniversi ties,usingwell thought oftextbooks.Butfromthebeginning,Ifeltthatsomething was wrong. It took me several years to articulate the problem, and many more to assemble my solution into the book you have in your hand. You see, I spend the rest of my day in statistical consulting and statistical re search. I should have been preparing my mathematical statistics students to join me in this exciting work. But from seeing what the better graduating seniors and beginning graduate students usually knew, I concluded that the standard curricu lumwasnotteachingthemtobesophisticatedcitizensofthestatisticalcommunity.

### Keywords

Bernoulli process Likelihood Logistic Regression Probability theory Random variable mathematical statistics statistics

#### Authors and affiliations

1. 1.Department of StatisticsVirginia Polytechnic InstituteBlacksburgUSA

### Bibliographic information

• Book Title Mathematical Statistics
• Book Subtitle A Unified Introduction
• Authors George R. Terrell
• Series Title Springer Texts in Statistics
• DOI https://doi.org/10.1007/b98961
• Copyright Information Springer-Verlag New York, Inc. 1999
• Publisher Name Springer, New York, NY
• eBook Packages
• Hardcover ISBN 978-0-387-98621-0
• Softcover ISBN 978-1-4419-3141-2
• eBook ISBN 978-0-387-22769-6
• Series ISSN 1431-875X
• Edition Number 1
• Number of Pages XVIII, 454
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site

## Reviews

"The book is very easy and enjoyable to read ... it offers a refreshing point of view in an area which has been dominated by texts following almost exclusively by theoretical expositions."
Short Book Reviews, Vol. 20/2, August 2000