Book Image

Bayesian Analysis with Python - Second Edition

By : Osvaldo Martin
4.5 (2)
Book Image

Bayesian Analysis with Python - Second Edition

4.5 (2)
By: Osvaldo Martin

Overview of this book

The second edition of Bayesian Analysis with Python is an introduction to the main concepts of applied Bayesian inference and its practical implementation in Python using PyMC3, a state-of-the-art probabilistic programming library, and ArviZ, a new library for exploratory analysis of Bayesian models. The main concepts of Bayesian statistics are covered using a practical and computational approach. Synthetic and real data sets are used to introduce several types of models, such as generalized linear models for regression and classification, mixture models, hierarchical models, and Gaussian processes, among others. By the end of the book, you will have a working knowledge of probabilistic modeling and you will be able to design and implement Bayesian models for your own data science problems. After reading the book you will be better prepared to delve into more advanced material or specialized statistical modeling if you need to.
Table of Contents (11 chapters)
9
Where To Go Next?

Information criteria

Information criteria is a collection of different and somehow related tools that are used to compare models in terms of how well they fit the data while taking into account their complexity through a penalization term. In other words, information criteria formalizes the intuition we developed at the beginning of this chapter. We need a proper way to balance how well a model explains the data on the one hand, and how complex the model is on the other hand.

The exact way these quantities are derived has to do with a field known as information theory, something that is beyond the scope of this book, so we are going to limit ourselves to understand them from a practical point of view.

Log-likelihood and deviance

...