What's in a ball? Constructing and characterizing uncertainty sets

Thomas Kruse, Judith C. Schneider and Nikolaus Schweizer

Papers from arXiv.org

Abstract: In the presence of model risk, it is well-established to replace classical expected values by worst-case expectations over all models within a fixed radius from a given reference model. This is the "robustness" approach. We show that previous methods for measuring this radius, e.g. relative entropy or polynomial divergences, are inadequate for reference models which are moderately heavy-tailed such as lognormal models. Worst cases are either infinitely pessimistic, or they rule out the possibility of fat-tailed "power law" models as plausible alternatives. We introduce a new family of divergence measures which captures intermediate levels of pessimism.

Date: 2015-10
New Economics Papers: this item is included in nep-rmg
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