Roberto Colombi
Marginal
Models: recent developments and applications to categorical time
series analysis
Recently
general defnitions of marginal interactions and marginal models
have been introduced by Bergsma-Rudas (Annals of Statistics, 2002)
and by Colombi-Forcina (Biometrika, 2001) that considerably improved
the fexibility and interpretability of standard hierarchical log-linear
models by allowing interactions to be conrasts of four types of
Logits defned within different marginal distributions. This lecture
reviews these recent contributions and shows their relevance in
the context of categorical time series analysis.
More precisely it is shown that marginal parametrizations are
particularly suitable for specifying Hidden Markov Models and
State Space Models for multi-categorical data.
Roberto Colombi
is professor of Statistics at the University of Bergamo, Dalmine-Italy.
Colombi's recent research interests are: Marginal Models for Contingency
Tables, Categorical Time Series Analysis and Order Restricted Inference.