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Molecular EvolutionA Statistical Approach$
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Ziheng Yang

Print publication date: 2014

Print ISBN-13: 9780199602605

Published to Oxford Scholarship Online: August 2014

DOI: 10.1093/acprof:oso/9780199602605.001.0001

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Bayesian theory

Bayesian theory

Chapter:
(p.182) Chapter 6 Bayesian theory
Source:
Molecular Evolution
Author(s):

Ziheng Yang

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199602605.003.0006

This chapter summarizes the Frequentist–Bayesian controversy in statistics, and introduces the basic theory of Bayesian statistical inference, such as the prior, posterior, and Bayes’ theorem. Classical methods for Bayesian computation, such as numerical integration, Laplacian expansion, Monte Carlo integration, and importance sampling, are illustrated using biological examples.

Keywords:   prior, posterior, Bayes’, theorem, Frequentist–Bayesian controversy, Bayesian statistical inference, Laplacian expansion, Monte Carlo integration, importance sampling

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