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.
Advances in complete mixability / G. Puccetti, B. Wang, R. Wang. - In: JOURNAL OF APPLIED PROBABILITY. - ISSN 0021-9002. - 49:2(2012 Jun), pp. 430-440.
Advances in complete mixability
G. Puccetti;
2012
Abstract
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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