Title: Bayesian networks based on max-linear structural equations
Authors: Claudia Klueppelberg - Technical University of Munich (Germany) [presenting]
Abstract: Bayesian networks based on max-linear structural equations are studied and a summary of their independence properties is provided. In particular we emphasize that distributions for such networks are never faithful to the independence model determined by their associated directed acyclic graph unless the latter is a polytree, in which case they are always faithful. In addition, we consider some of the basic issues of estimation and discuss generalised maximum likelihood estimation of the coefficients. Finally, we argue that the structure of a minimal network asymptotically can be identified completely from observational data.