© 1999

Mathematical Statistics

A Unified Introduction


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

About this book


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.


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
  • Copyright Information Springer-Verlag New York, Inc. 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • 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 Statistical Theory and Methods
    Probability Theory and Stochastic Processes
  • Buy this book on publisher's site


"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