Articles

Entropy Densities With an Application to Autoregressive Conditional Skewness and Kurtosis

M. ROCKINGER, E. Jondeau

Journal of Econometrics

January 2002, vol. 106, n°1, pp.119-142

Departments: Finance

Keywords: Semi-nonparametric estimation, Time-varying skewness and kurtosis, GARCH

http://dx.doi.org/10.2139/ssrn.1730203


The entropy principle yields, for a given set of 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. This domain is found to be much larger than for Hermite or Edgeworth expansions. Last, we show how this technique can be used to estimate a GARCH model where skewness and kurtosis are time varying. We find that there is little predictability of skewness and kurtosis for weekly data


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