Estimation of Spectral Risk Measures
December 22, 2019 ยท Declared Dead ยท ๐ AAAI Conference on Artificial Intelligence
"No code URL or promise found in abstract"
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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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