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Large deviations bounds for estimating conditional value-at-risk
Authors:David B Brown
Institution:The Fuqua School of Business, Duke University, 1 Towerview Drive, Durham, NC 27708, USA
Abstract:In this paper, we prove an exponential rate of convergence result for a common estimator of conditional value-at-risk for bounded random variables. The bound on optimistic deviations is tighter while the bound on pessimistic deviations is more general and applies to a broader class of convex risk measures.
Keywords:Conditional value-at-risk  Convex risk measure  Optimized certainty equivalent  Large deviations  Estimation
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