Online Estimation and Optimization of Utility-Based Shortfall Risk
Vishwajit Hegde,
Arvind Satish Menon,
L.A. Prashanth
et al.
Abstract:Utility-based shortfall risk (UBSR) is a risk metric that is increasingly popular in financial applications, owing to certain desirable properties that it enjoys. We consider the problem of estimating UBSR in a recursive setting, in which samples from the underlying loss distribution are available one at a time. We cast the UBSR estimation problem as a root-finding problem and propose stochastic approximation-based estimation schemes. We derive nonasymptotic bounds on the estimation error in the number of samp… Show more
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