Mathematical Statistics / Edition 1

by Keith Knight

Overview

Traditional texts in mathematical statistics can seem - to some readers-heavily weighted with optimality theory of the various flavors developed in the 1940s and50s, and not particularly relevant to statistical practice. Mathematical Statistics stands apart from these treatments. While mathematically rigorous, its focus is on providing a set of useful tools that allow students to understand the theoretical underpinnings of statistical methodology.

The author concentrates on inferential procedures within the framework of parametric models, but - acknowledging that models are often incorrectly specified - he also views estimation from a non-parametric perspective. Overall, Mathematical Statistics places greater emphasis on frequentist methodology than on Bayesian, but claims no particular superiority for that approach. It does emphasize, however, the utility of statistical and mathematical software packages, and includes several sections addressing computational issues.

The result reaches beyond "nice" mathematics to provide a balanced, practical text that brings life and relevance to a subject so often perceived as irrelevant and dry.

Features

Provides the tools that allow an understanding of the underpinnings of statistical methods

Encourages the use of statistical software, which widens the range of problems reader can consider

Brings relevance to the subject-shows readers it has much to offer beyond optimality theory

Focuses on inferential procedures within the framework of parametric models, but also views estimation from the nonparametric perspective

Solutions manual availalbe on crcpress.com

Product Details

ISBN-13:	9781584881780
Publisher:	Taylor & Francis
Publication date:	11/24/1999
Series:	Chapman & Hall/CRC Texts in Statistical Science , #46
Edition description:	New Edition
Pages:	498
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Keith Knight

Table of Contents

INTRODUCTION TO PROBABILITY
RANDOM VECTORS AND JOINT DISTRIBUTIONS
CONVERGENCE OF RANDOM VARIABLES
PRINCIPLES OF POINT ESTIMATION
LIKELIHOOD-BASED ESTIMATION
OPTIMAL ESTIMATION
INTERVAL ESTIMATION AND HYPOTHESIS TESTING
LINEAR AND GENERALIZED LINEAR MODELS
GOODNESS OF FIT
REFERENCES



NTI/Sales Copy

Editorial Reviews

Keith Knight's new book is a welcome addition to textbooks appropriate for masters-level theory courses. ... His is the best treatment of likelihood theory that I know at any level. ... I wish I had a nickel for every time I have been asked for recommended reading on likelihood theory and had to say one did not exist at this level. Now I can wholeheartedly recommend Mathematical Statistics.
C. GEYER, University of Minnesota in Journal of the American Statistical Association, June 2001

"…a very suitable text for teaching at an acceptable mathematical level…contains numerous examples and each chapter is followed by a rich choice of exercises…this makes the book excellent for teaching,"
-Short Book Reviews of the ISI

"well-written,,,far greater coverage of ides that are not standard in other mathematical statistics texts."
—M. S. Ridout, Institute of Mathematics and Statistics, University of Kent at Canterbury, UK in Biometrics

"…one of the five best textbooks on a beginning course on theoretical statistics providing a good grasp on the foundations of theoretical statistics. Primarily for graduate students with mathematical backgrounds in linear algebra, multivariable calculus, and some exposure to statistical methodology. Highly recommended for all academic libraries."
—D. V. Chopra, Wichita State University in CHOICE

"This books breaks away form more theoretically burdensome texts, focusing on providing a set of useful tools that help readers understand the theoretical under pinning of statistical methodology."
—SciTech Book News, March 2000

"This (hardback) book is one of the most up-to-date and easily understood texts in the field of mathematical statistics. The author has recognized the difficult nature of the subject and has done justice to the subject by finally producing one of the best well-rounded texts for graduate and senior undergraduate students. …well written and well structured. This text would be a very useful teaching tool."
The Statistician, Vol. 50, Part 2, 2001

From the Publisher

This book breaks away from more theoretically burdensome texts, focusing on providing a set of useful tools that help readers understand the theoretical underpinnings of statistical methodology. Knight (statistics, U. of Toronto, Canada) emphasizes inferential procedures within the framework of parametric models and frequentist methodology, but also gives space to estimation from a non-parametric perspective and the Bayesian methods. Several sections also address computational issues, such as generating random variables, which are best suited for use with some type of statistical software. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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