Marginal Models: recent developments and applications to categorical time series analysis

摘要

Recently general definitions of marginal interactions and marginal models have been introduced by Bergsma, Rudas (2002), Colombi, Forcina (2001) and by Bartolucci, Colombi, Forcina (2004) that considerably improved the flexibility and interpretability of standard hierarchical log-linear models by allowing interactions to be contrasts of four types of Logits defined within different marginal distributions. This paper reviews these recent contributions and shows their relevance in the context of categorical time series analysis.