Simpson’s famous paradox vividly exemplifies the importance of considering conditional, rather than marginal, associations for assessing the dependence structure of several variables. The study of conditional dependencies is the subject matter of graphical models. The statistical methods applied in graphical models for continuous variables rely on the assumption of normality, which leads to the term Gaussian graphical models. We consider elliptical graphical models, that is, we allow the population distribution to be elliptical instead of normal. We examine the class of affine equivariant scatter estimators and propose an adjusted version of the deviance tests, valid under ellipticity. A detailed derivation can be found in . In this exposition we report the results of a simulation study, demonstrating the feasibility of our approach also in higher dimensions. Graphical models based on classical, non-robust estimators have been used, e.g., to explore successfully the partial correlation structure within high-dimensional physiological time series  and within high-dimensional time series describing neural oscillators .
|Title of host publication||Proceedings of Biosignal 2010, July 14-16, 2010, Berlin, Germany|
|Number of pages||4|
|Publication status||Published - Jul 2010|
|Event||International Biosignal Processing Conference (Biosignal) 2010 - Berlin, Germany|
Duration: 14 Jul 2010 → 16 Jul 2010
|Conference||International Biosignal Processing Conference (Biosignal) 2010|
|Period||14/07/10 → 16/07/10|