The concept of complete mixability is relevant to some problems of optimal couplings with important applications in quantitative risk management. In this paper we prove new properties of the set of completely mixable distributions, including a completeness and a decomposition theorem. We also show that distributions with a concave density and radially symmetric distributions are completely mixable.
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10.1016/j.jmva.2006.01.004
10.1007/978-3-642-12465-5_5
10.1007/978-94-017-0061-0_22
10.1007/s10463-011-0329-6
10.1016/j.jmva.2011.05.002
Wang, 2011, Bounds for the sum of dependent risks and worst Value-at-Risk with monotone marginal densities
