Log-concavity and related properties of the cycle index polynomials
Journal of Combinatorial Theory Series A
Bounds for probabilistic integer programming problems
Discrete Applied Mathematics - Workshop on discrete optimization DO'99, contributions to discrete optimization
On the entropy of compound distributions on nonnegative integers
IEEE Transactions on Information Theory
Discrete Applied Mathematics
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Compound distributions come up in many applications (telecommunication, hydrology, insurance, etc.), where some of the typical problems are of optimization type. The log-concavity property is paramount in these respects to ensure convexity. In this paper, we prove the log-concavity of some compound Poisson and other compound distributions.