(ch:Inferenceandpdfs)=
#  Inference and PDFs

In this chapter we put on the table the basic ingredients for Bayesian inference. 
The subsections are:
* {ref}`sec:Inference:statements`: Notation for probability statements
* {ref}`sec:Inference:manipulation`
* {ref}`sec:Inference:PDFs`. Extension of the Bayesian rules of probability to continuous probability density functions.
* First look at {ref}`sec:Inference:moments`. 
* {ref}`sec:MoreBayesTheorem`. Further insight into Bayes' theorem.
* {ref}`sec:DataModelsPredictions`. Introduction to statistical models, posterior predictive distributions, and Bayesian parameter estimation.
* {ref}`sec:BayesianEpistemology`. Philosophical remarks on the interpretation of probabilities.