Title

Semiparametric regression and graphical models

RIS ID

32352

Publication Details

Wand, M. P.. (2009). Semiparametric regression and graphical models. Australian and New Zealand Journal of Statistics, 51 (1), 9-41.

Abstract

Semiparametric regression models that use spline basis functions with penalization have graphical model representations. This link is more powerful than previously established mixed model representations of semiparametric regression, as a larger class of models can be accommodated. Complications such as missingness and measurement error are more naturally handled within the graphical model architecture. Directed acyclic graphs, also known as Bayesian networks, play a prominent role. Graphical model-based Bayesian 'inference engines', such as BUGS and VIBES, facilitate fitting and inference. Underlying these are Markov chain Monte Carlo schemes and recent developments in variational approximation theory and methodology.

Grant Number

ARC/DP0877055

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