The problem of determining probability densities from data is important in many fields, in particular in insurance and risk analysis. The method of maximum entropy has proven to be a powerful tool to determine probability densities from a few values of its Laplace transform. This is so, even...

An important problem in the insurance and banking industries is that of pricing risk or premium valuation. When the empirical data is not large, and loss distributions are inferred from the data, a potentially large sample dependence of the premia on the data is to be expected. The maximum...