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.
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Paper provided by Banque de France in its series Documents de Travail with number
79.
Find related papers by JEL classification: C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
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Higgins, Matthew L & Bera, Anil K, 1992.
"A Class of Nonlinear ARCH Models,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(1), pages 137-58, February.
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Hansen, Bruce E, 1994.
"Autoregressive Conditional Density Estimation,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 705-30, August.
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