Lambert B A Student’s Guide to Bayesian Statistics 2018

Textbook in PDF format

Contents
Online resources
Acknowledgements
About the Author
How Best to use this Book
An Introduction to Bayesian Inference
The Subjective Worlds of Frequentist and Bayesian Statistics
Probability – The Nuts and Bolts of Bayesian Inference
Understanding the Bayesian Formula
Likelihoods
Priors
The Devil is in the Denominator
The Posterior – The Goal of Bayesian Inference
Analytic Bayesian Methods
An Introduction to Distributions for the Mathematically Uninclined
Conjugate priors
Evaluation of model fit and hypothesis testing
Making Bayesian analysis objective?
A practical guide to doing real-life Bayesian analysis: computational Bayes
Leaving conjugates behind: Markov chain Monte Carlo
Random Walk Metropolis
Gibbs sampling
Hamiltonian Monte Carlo
Stan
Hierarchical models and regression
Hierarchical models
Linear regression models
Generalised linear models and other animals
References
Index