Remarks Concerning Graphical Models for Time Series and Point Processes

Abstract

A statistical network is a collection of nodes representing random variables and a set of edges that connect the nodes. A probabilistic model for such is called a graphical modeL These models, graphs and networks are particularly useful for examining statistical dependencies based on conditioning as often occurs in economics and statistics. In this paper the nodal random variables will be time series or point processes. The cases of undirected and directed graphs are focussed on.