Bregman superquantiles. Estimation methods and applications

Tatiana Labopin-Richard, Fabrice Gamboa, Aur\'elien Garivier and Bertrand Iooss
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Tatiana Labopin-Richard: IMT
Fabrice Gamboa: IMT
Aur\'elien Garivier: IMT
Bertrand Iooss: GdR MASCOT-NUM

Papers from arXiv.org

Abstract: In this work, we extend some quantities introduced in "Optimization of conditional value-at-risk" of R.T Rockafellar and S. Uryasev to the case where the proximity between real numbers is measured by using a Bregman divergence. This leads to the definition of the Bregman superquantile. Axioms of a coherent measure of risk discussed in "Coherent approches to risk in optimization under uncertainty" of R.T Rockafellar are studied in the case of Bregman superquantile. Furthermore, we deal with asymptotic properties of a Monte Carlo estimator of the Bregman superquantile.

Date: 2014-05, Revised 2016-01
New Economics Papers: this item is included in nep-rmg
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