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Statistical Inference » (2nd Edition)

Book cover image of Statistical Inference by George Casella

Authors: George Casella, Roger L. Berger, Roger L. Berger
ISBN-13: 9780534243128, ISBN-10: 0534243126
Format: Hardcover
Publisher: Cengage Learning
Date Published: June 2001
Edition: 2nd Edition

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Author Biography: George Casella

Book Synopsis

Intended for first-year graduate students specializing in statistics, this textbook seeks to build theoretical statistics from the first principles of probability theory. It covers the basics of probability theory and details major statistical principles, including sufficiency, likelihood, and invariance. It then outlines the methods of inference, estimation, and hypothesis testing. Special topics like asymptotic evaluations, analysis of variance and regression, and regression models are also discussed. Casella teaches at the University of Florida. Berger teaches at North Carolina State University.

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Table of Contents

1Probability Theory1
2Transformations and Expectations47
3Common Families of Distributions85
4Multiple Random Variables139
5Properties of a Random Sample207
6Principles of Data Reduction271
7Point Estimation311
8Hypothesis Testing373
9Interval Estimation417
10Asymptotic Evaluations467
11Analysis of Variance and Regression521
12Regression Models577
App.: Computer Algebra613
Table of Common Distributions627
References629
Author Index645
Subject Index649

Subjects