# Bibliography

Journal Article

### Combining Marginal Probability Distributions via Minimization of Weighted Sum of Kullback-Leibler Divergences

**: **International Journal of Approximate Reasoning vol.52, 6 (2011), p. 659-671

**: ** CEZ:AV0Z10750506

**: **GA102/08/0567, GA ČR

**: **combining probabilities,
Kullback-Leibler divergence,
maximum likelihood,
expert opinions,
linear opinion pool

**: **http://library.utia.cas.cz/separaty/2011/AS/kracik-0359399.pdf

**(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.

**: **BB