English
Related papers

Related papers: Estimating and backtesting risk under heavy tails

200 papers

Cross-validation under sample selection bias can, in principle, be done by importance-weighting the empirical risk. However, the importance-weighted risk estimator produces sub-optimal hyperparameter estimates in problem settings where…

Machine Learning · Computer Science 2019-08-28 Wouter M. Kouw , Jesse H. Krijthe , Marco Loog

We derive PAC-Bayesian learning guarantees for heavy-tailed losses, and obtain a novel optimal Gibbs posterior which enjoys finite-sample excess risk bounds at logarithmic confidence. Our core technique itself makes use of PAC-Bayesian…

Machine Learning · Statistics 2019-12-19 Matthew J. Holland

Deep probabilistic forecasting is gaining attention in numerous applications ranging from weather prognosis, through electricity consumption estimation, to autonomous vehicle trajectory prediction. However, existing approaches focus on…

Machine Learning · Computer Science 2022-03-04 Jedrzej Kozerawski , Mayank Sharan , Rose Yu

We derive new approximations for the Value at Risk and the Expected Shortfall at high levels of loss distributions with positive skewness and excess kurtosis, and we describe their precisions for notable ones such as for exponential, Pareto…

Risk Management · Quantitative Finance 2023-12-25 Matyas Barczy , Adam Dudas , Jozsef Gall

This paper considers estimation and inference about tail features when the observations beyond some threshold are censored. We first show that ignoring such tail censoring could lead to substantial bias and size distortion, even if the…

Econometrics · Economics 2020-02-25 Yulong Wang , Zhijie Xiao

Estimating the causal effect of a treatment or health policy with observational data can be challenging due to an imbalance of and a lack of overlap between treated and control covariate distributions. In the presence of limited overlap,…

Methodology · Statistics 2025-03-24 Martha Barnard , Jared D. Huling , Julian Wolfson

Language models are increasingly capable and are being rapidly deployed on a population-level scale. As a result, the safety of these models is increasingly high-stakes. Fortunately, advances in alignment have significantly reduced the…

Machine Learning · Computer Science 2026-04-27 Rico Angell , Raghav Singhal , Zachary Horvitz , Zhou Yu , Rajesh Ranganath , Kathleen McKeown , He He

The bias of an estimator is defined as the difference of its expected value from the parameter to be estimated, where the expectation is with respect to the model. Loosely speaking, small bias reflects the desire that if an experiment is…

Methodology · Statistics 2018-02-16 Ioannis Kosmidis

Backtesting risk measures is a central task in financial regulation. While standard backtests evaluate whether a forecasting model is statistically consistent with observed losses, regulatory practice often requires assessing the…

Methodology · Statistics 2026-03-06 Zhanyi Jiao , Qiuqi Wang , Yimiao Zhao

Where machine-learned predictive risk scores inform high-stakes decisions, such as bail and sentencing in criminal justice, fairness has been a serious concern. Recent work has characterized the disparate impact that such risk scores can…

Machine Learning · Computer Science 2019-06-04 Nathan Kallus , Angela Zhou

Applying software defect esimation techniques and presenting this information in a compact and impactful decision table can clearly illustrate to collaborative groups how critical this position is in the overall development cycle. The Test…

Software Engineering · Computer Science 2007-11-13 James Cusick

The stable tail dependence function provides a full characterization of the extremal dependence structures. Unfortunately, the estimation of the stable tail dependence function often suffers from significant bias, whose scale relates to the…

Methodology · Statistics 2022-12-19 Nan Zou

Numerical evaluation of performance measures in heavy-tailed risk models is an important and challenging problem. In this paper, we construct very accurate approximations of such performance measures that provide small absolute and relative…

Probability · Mathematics 2014-04-28 Eleni Vatamidou , Ivo J. B. F. Adan , Maria Vlasiou , Bert Zwart

In risk management, tail risks are of crucial importance. The assessment of risks should be carried out in accordance with the regulatory authority's requirement at high quantiles. In general, the underlying distribution function is…

Risk Management · Quantitative Finance 2020-07-15 Ingo Hoffmann , Christoph J. Börner

We focus on parameterized policy search for reinforcement learning over continuous action spaces. Typically, one assumes the score function associated with a policy is bounded, which fails to hold even for Gaussian policies. To properly…

Machine Learning · Computer Science 2022-02-01 Amrit Singh Bedi , Souradip Chakraborty , Anjaly Parayil , Brian Sadler , Pratap Tokekar , Alec Koppel

This paper introduces novel backtests for the risk measure Expected Shortfall (ES) following the testing idea of Mincer and Zarnowitz (1969). Estimating a regression framework for the ES stand-alone is infeasible, and thus, our tests are…

Risk Management · Quantitative Finance 2020-08-31 Sebastian Bayer , Timo Dimitriadis

For a risk vector $V$, whose components are shared among agents by some random mechanism, we obtain asymptotic lower and upper bounds for the individual agents' exposure risk and the aggregated risk in the market. Risk is measured by…

Risk Management · Quantitative Finance 2016-04-12 Oliver Kley , Claudia Kluppelberg

In the United States and elsewhere, risk assessment algorithms are being used to help inform criminal justice decision-makers. A common intent is to forecast an offender's ``future dangerousness.'' Such algorithms have been correctly…

Applications · Statistics 2022-08-10 Richard A. Berk , Arun Kumar Kuchibhotla , Eric Tchetgen Tchetgen

We develop an unsupervised mixture model for non-negative, skewed and heavy-tailed data, such as losses in actuarial and risk management applications. The mixture has a lognormal component, which is usually appropriate for the body of the…

Methodology · Statistics 2025-05-29 Marco Bee , Flavio Santi

Majority of off-policy reinforcement learning algorithms use overestimation bias control techniques. Most of these techniques rooted in heuristics, primarily addressing the consequences of overestimation rather than its fundamental origins.…

Machine Learning · Computer Science 2023-09-27 Arsenii Kuznetsov