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Bayes Rule with R A Tutorial Introduction to Bayesian Analysis

✍ Scribed by James V Stone


Publisher
Sebtel Press
Year
2016
Tongue
English
Leaves
187
Category
Library

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✦ Synopsis


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.

✦ Table of Contents


  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

✦ Subjects


Statistics, Bayesian Analysis


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