Bibliografie

(eng): The paper deals with the problem of combining marginal probability distributions as a means for aggregating pieces of expert information. The combined distribution is searched as a minimizer of a weighted sum of Kullback–Leibler divergences of the given marginal distributions and corresponding marginals of the searched one. Necessary and sufficient conditions for a distribution to be a minimizer are stated. For discrete random variables an iterative algorithm for approximate solution of the minimization problem is proposed and its convergence is proved.