Computation of Sharp Bounds on the Expected Value of a Supermodular Function of Risks with Given Marginals
Forthcoming in Commun. Stat. Simulat.
13 Pages Posted: 7 Aug 2014
Date Written: 2015
We show that the rearrangement algorithm introduced in Puccetti and Rüschendorf (2012) to compute distributional bounds can be used also to compute sharp lower and upper bounds on the expected value of a supermodular function of d random variables having fixed marginal distributions. Compared to the analytical methods existing in the literature the algorithm is widely applicable, more easily obtained and gives insight into the dependence structures attaining the bounds.
Keywords: Moment bounds for dependent risks, distribution functions, rearrangements
JEL Classification: [AMS] 60E05, 91B30
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