Discrete Graphical Models and Their Parameterization

Authored by: Marloes Maathuis , Mathias Drton , Steffen Lauritzen , Martin Wainwright

Handbook of Graphical Models

Print publication date:  November  2018
Online publication date:  November  2018

Print ISBN: 9781498788625
eBook ISBN: 9780429463976
Adobe ISBN:

10.1201/9780429463976-8

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Abstract

This chapter is devoted to graphical models in which the observed variables are categorical, that is, whose state space consists of a finite number of values. Although the interpretation of a graphical model and the inferential questions of interest usually do not depend on the kind of variables involved in the analysis, the effective specification of the problems and the techniques for statistical analysis differ from case to case. An essential ingredient for the implementation of statistical techniques is the specification of a suitable parameterization of the model, and indeed the present chapter is mostly focused on this issue.

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