Introduction to the Theory of Statistical Inference

Introduction to the Theory of Statistical Inference

by Hannelore Liero, Silvelyn Zwanzig

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Product Details

ISBN-13: 9781439852927
Publisher: Taylor & Francis
Publication date: 08/10/2011
Series: Chapman & Hall/CRC Texts in Statistical Science Series
Pages: 284
Product dimensions: 6.10(w) x 9.20(h) x 0.70(d)

About the Author

Hannelore Liero is an apl. Prof. for Mathematical Statistics at the University of Potsdam. She studied Mathematics at the Humboldt-University in Berlin. She earned her Ph.D. while working as a scientist at the Academy of Sciences of the GDR. Since 1992, she has taught Statistics for undergraduate and graduate students in Mathematics, Biology and Computer Science at the Faculty of Sciences at the University of Potsdam. In addition to teaching, she does basic research in Statistics and supports scientists applying statistical methods in practice.

Silvelyn Zwanzig is an Associate Professor for Mathematical Statistics at Uppsala University. She studied Mathematics at the Humboldt-University in Berlin. Before coming to Sweden she was Assistant Professor at the University of Hamburg in Germany. She received her Ph.D. in Mathematics at the Academy of Sciences of the GDR. Since 1991, she has taught Statistics for undergraduate and graduate students. Her research interests have moved from theoretical statistics to computer intensive statistics. She is interested in consulting and was working in Astrometry.

Table of Contents

Introduction

Statistical model
Data
Statistical Model
Statistic
Exponential Families
List of Problems
Further Reading

Inference Principles
Likelihood Function
Fisher Information
Sufficiency
List of Problems
Further Reading

Estimation
Methods of Estimation
Unbiasedness and Mean Squared Error
Asymptotic Properties of Estimators
List of Problems
Further Reading

Testing Hypotheses
Test problems
Tests: Assessing Evidence
Tests: Decision Rules
List of Problems
Further Reading

Linear Model
Introduction
Formulation of the Model
The Least Squares Estimator
The Normal Linear Model
List of Problems
Further Reading

Solutions
Bibliography
Index

What People are Saying About This

From the Publisher

… it provides in-depth explanations, complete with proofs, of how statistics works. … The book has several user-friendly aspects. One is the use of eight example data sets to illustrate the theory throughout the text. This repeated use of the same examples allows readers to focus their energy on applying a theoretical point under discussion to a familiar example rather than having to first become acquainted with a new example. Another big help are the detailed solutions provided for the problems that appear at the end of each chapter. … Also helpful: Theoretical or difficult material that can be skipped is marked with an asterisk. … a clear exposition of the theory of statistical inference, along with complete proofs and familiar examples. The text analyzes not just methods one learns in a first statistics course, but alternatives as well. Each chapter is capped by a further reading section that is at once comprehensive and concise.
—David A. Huckaby, MAA Reviews, February 2012

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