Non-Extensitivity versus informative moments for financial models: a unifying framework and empirical results

Information-theoretic approaches still play a minor role in financial market analysis. Nonetheless, there have been two very similar approaches evolving during the last years, one in so-called econophysics and the other in econometrics. Both generalize the notion of GARCH processes in an information-theoretic sense and are able to capture skewness and kurtosis better than traditional models. In this article we present both approaches in a more general framework and compare their performance in some illustrative data sets. --Entropy density,Skewness,Kurtosis,GARCH