Abstract:
The proposed tests are derived from maximizing the differential entropy subject to moment constraints. By exploiting the equivalence between the Maximum Entropy and Maximum Likelihood estimates of the general exponential family, we can use the conventional Likelihood Ratio, Wald and Lagrange Multiplier testing principles in the maximum entropy framework. In particular we use the Lagrange Multiplier method to derive tests for normality and their asymptotic properties. Monte Carlo evidence suggests that the proposed tests have desirable small sample properties.
Keywords:distribution test; maximum entropy; normality. (search for similar items in EconPapers) JEL-codes:C1C12C16 (search for similar items in EconPapers) New Economics Papers: this item is included in nep-ecm Date: 2007-07, Revised 2007-07