**by James E. Gentle**

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This book is directed toward students for whom mathematical statistics is or will become an important part of their lives. Obviously, such students should be able to work through the details of 'hard' proofs and derivations. In addition, students at this level should acquire, or begin acquiring, a deep appreciation for the field, including its historical development and its relation to other areas of mathematics and science generally. ### Table of Contents

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This open book is licensed under a Creative Commons License (CC BY). You can download Theory of Statistics ebook for free in PDF format (6.7 MB).

Chapter 1

Probability Theory

Chapter 2

Distribution Theory and Statistical Models

Chapter 3

Basic Statistical Theory

Chapter 4

Bayesian Inference

Chapter 5

Unbiased Point Estimation

Chapter 6

Statistical Inference Based on Likelihood

Chapter 7

Statistical Hypotheses and Confidence Sets

Chapter 8

Nonparametric and Robust Inference

Chapter 9

Statistical Mathematics

Appendix A

Important Probability Distributions

Appendix B

Useful Inequalities in Probability

Appendix C

Notation and Definitions

Title

Theory of Statistics

Subject

Science and Mathematics

Publisher

George Mason University

Published

2020

Pages

925

Edition

1

Language

English

PDF Size

6.7 MB

License

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