The "GaussParDAG" class represents a Gaussian causal model.
Arguments
encoding
UTF-8
concept
Gaussian causal model
structural equation model
Extends
Class "ParDAG", directly.
All reference classes extend and inherit methods from
"envRefClass".
Details
The class "GaussParDAG" is used to simulate observational
and/or interventional data from Gaussian causal models as well as for parameter
estimation (maximum-likelihood estimation) for a given DAG structure in the
presence of a data set with jointly observational and interventional data.
A Gaussian causal model can be represented as a set of $p$ linear
structural equations with Gaussian noise variables. Those equations are
fully specified by indicating the regression parameters, the intercept
and the variance of the noise or error terms. More details can be found e.g.
in Kalisch and Bühlmann (2007) or Hauser and Bühlmann (2012).
References
A. Hauser and P. Bühlmann (2012). Characterization and greedy learning of
interventional Markov equivalence classes of directed acyclic graphs.
Journal of Machine Learning Research13, 2409--2464.
M. Kalisch and P. Buehlmann (2007). Estimating high-dimensional directed
acyclic graphs with the PC-algorithm. Journal of Machine Learning
Research8, 613--636.
K.B. Korb, L.R. Hope, A.E. Nicholson, and K. Axnick (2004). Varieties of
causal intervention. Proc. of the Pacific Rim International Conference
on Artificial Intelligence (PRICAI 2004), 322--331