A glance at graphical modelling in statistics and artificial intelligence

The goal of this elementary talk will be to inform general statistical audience briefly and superficially about graphical modelling of conditional independence structures by means so-called chain graphs. This will be done by presenting three artificial toy examples whose aim is to motivate and illustrate the possible use of graphical methods in the following three areas: in contingency tables processing, in multivariate statistical analysis and in probabilitic decision making. The relevant mathematical definitions will be given throughout the talk.