Statistical Theory
A Concise Introduction
1st Edition
Published on 25. April 2013
Book
Hardback
240 pages
978-1-4398-5184-5 (ISBN)
Description
Designed for a one-semester advanced undergraduate or graduate course, Statistical Theory: A Concise Introduction clearly explains the underlying ideas and principles of major statistical concepts, including parameter estimation, confidence intervals, hypothesis testing, asymptotic analysis, Bayesian inference, and elements of decision theory. It introduces these topics on a clear intuitive level using illustrative examples in addition to the formal definitions, theorems, and proofs.
Based on the authors' lecture notes, this student-oriented, self-contained book maintains a proper balance between the clarity and rigor of exposition. In a few cases, the authors present a "sketched" version of a proof, explaining its main ideas rather than giving detailed technical mathematical and probabilistic arguments. Chapters and sections marked by asterisks contain more advanced topics and may be omitted. A special chapter on linear models shows how the main theoretical concepts can be applied to the well-known and frequently used statistical tool of linear regression.
Requiring no heavy calculus, simple questions throughout the text help students check their understanding of the material. Each chapter also includes a set of exercises that range in level of difficulty.
Based on the authors' lecture notes, this student-oriented, self-contained book maintains a proper balance between the clarity and rigor of exposition. In a few cases, the authors present a "sketched" version of a proof, explaining its main ideas rather than giving detailed technical mathematical and probabilistic arguments. Chapters and sections marked by asterisks contain more advanced topics and may be omitted. A special chapter on linear models shows how the main theoretical concepts can be applied to the well-known and frequently used statistical tool of linear regression.
Requiring no heavy calculus, simple questions throughout the text help students check their understanding of the material. Each chapter also includes a set of exercises that range in level of difficulty.
Reviews / Votes
"As teachers of theoretical statistics, we can use a new approach, which this text offers. ... a helpful resource for teachers of mathematical statistics who are looking for an outline of teaching material and useable depth. Their material attains a workable syllabus, which can be easily augmented with the teacher's preferred emphasis. This volume will make a solid contribution to any theoretical statistics instructor's collection due to its convenient size, its scope of coverage, judicious use of examples, and clarity of exposition."-The American Statistician, May 2014
More details
Series
Language
English
Place of publication
Washington
United States
Target group
College/higher education
Undergraduate and graduate students in statistics; researchers and postgraduates in statistics.
Illustrations
22 s/w Abbildungen, 8 s/w Tabellen
8 Tables, black and white; 22 Illustrations, black and white
Dimensions
Height: 234 mm
Width: 156 mm
Weight
520 gr
ISBN-13
978-1-4398-5184-5 (9781439851845)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Book
12/2022
2nd Edition
Chapman & Hall/CRC
€119.90
Shipment within 10-20 days
Content
Introduction. Point Estimation. Confidence Intervals, Bounds, and Regions. Hypothesis Testing. Asymptotic Analysis. Bayesian Inference. Elements of Statistical Decision Theory. Linear Models. Appendices. Index.