This paper proposes a new model for the dynamics of correlation matrices, where are driven by likelihood score with respect to matrix logarithm matrix. In analogy exponential GARCH volatility, this transformation ensures that matrices remain positive definite, even in high dimensions. For conditional distribution returns, we assume student-t copula explain dependence structure and univariate ma...

In literature, different common informations were defined by Gács and Körner, by Wyner, and by Kumar, Li, and Gamal, respectively. In this paper, we define two generalized versions of common informations, named approximate and exact information-correlation functions, by exploiting the conditional maximal correlation as a commonness or privacy measure. These two generalized common informations e...