Entropy Densities: with an Application to Autoregressive Conditional Skewness and Kurtosis.
The entropy principle yields, for a given set moments, a density that involves the smallest amount of prior information. We first show how entropy densities may be constructed in a numerically efficient way as the minimization of a potential. Next, for the case where the first four moments are given, we characterize the skewness-Kurtosis domain for which densities are defined.
C40 - Econometric and Statistical Methods: Special Topics. General ; C61 - Optimization Techniques; Programming Models; Dynamic Analysis ; G10 - General Financial Markets. General