Estimation of Spectral Risk Measures

December 22, 2019 ยท Declared Dead ยท ๐Ÿ› AAAI Conference on Artificial Intelligence

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Authors Ajay Kumar Pandey, Prashanth L. A., Sanjay P. Bhat arXiv ID 1912.10398 Category cs.LG: Machine Learning Cross-listed stat.ML Citations 12 Venue AAAI Conference on Artificial Intelligence Last Checked 5 months ago
Abstract
We consider the problem of estimating a spectral risk measure (SRM) from i.i.d. samples, and propose a novel method that is based on numerical integration. We show that our SRM estimate concentrates exponentially, when the underlying distribution has bounded support. Further, we also consider the case when the underlying distribution is either Gaussian or exponential, and derive a concentration bound for our estimation scheme. We validate the theoretical findings on a synthetic setup, and in a vehicular traffic routing application.
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