Bayes Rule with R A Tutorial Introduction to Bayesian Analysis

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Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, a range of accessible examples is used to show how Bayes' rule is actually a natural consequence of common sense reasoning. Bayes' rule is then derived using intuitive graphical representations of probability, and Bayesian analysis is applied to parameter estimation. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to become familiar with the basic principles of Bayesian analysis. Note that this book includes R (3.2) code snippets, which reproduce key numerical results and diagrams.

Author(s): James V Stone
Publisher: Sebtel Press
Year: 2016

Language: English
Pages: 187
Tags: Statistics, Bayesian Analysis

1. An Introduction to Bayes’ Rule
2. Bayes’ Rule in Pictures
3. Discrete Parameter Values
4. Continuous Parameter Values
5. Gaussian Parameter Estimation
6. Bayesian Wars
Further Reading
Appendices
A. Glossary
B. Mathematical Symbols
C. The Rules of Probability
D. Probability Density Functions
E. The Binomial Distribution
F. The Gaussian Distribution
G. Least-Squares Estimation
H. Reference Priors
References
Index