Before revision: If additional information about the distribution of a random variable is available in the form of moment conditions, the weighted kernel density estimator constructed by replacing the uniform weights with the generalised empirical likelihood probabilities provides an improved approximation to the moment constraints.
After revision: If additional information about the distribution of a random variable is available in the form of moment restrictions, kernel density and distribution function estimators with implied generalised empirical likelihood probabilities provides an improved approximation to the moment constraints.