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Related papers: Norms Based on Generalized Expected-Shortfalls and…

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Risk measures for multivariate financial positions are studied in a utility-based framework. Under a certain incomplete preference relation, shortfall and divergence risk measures are defined as the optimal values of specific set…

Risk Management · Quantitative Finance 2017-09-12 Çağın Ararat , Andreas H. Hamel , Birgit Rudloff

We propose a new backtesting framework for Expected Shortfall that could be used by the regulator. Instead of looking at the estimated capital reserve and the realised cash-flow separately, one could bind them into the secured position, for…

Risk Management · Quantitative Finance 2018-08-13 Felix Moldenhauer , Marcin Pitera

This paper investigates risk measures derived from the expected maximum deficit in a continuous-time framework and develops optimal reserve allocation strategies across multiple lines of business. We formalize the expected maximum deficit…

Risk Management · Quantitative Finance 2026-05-19 Claude Lefevre , Pierre Zuyderhoff

We address the problem that classical risk measures may not detect the tail risk adequately. This can occur for instance due to averaging when calculating the Expected Shortfall. The current literature proposes the so-called adjusted…

Mathematical Finance · Quantitative Finance 2025-04-24 Jascha Alexander , Christian Laudagé , Jörn Sass

We propose novel methods for change-point testing for nonparametric estimators of expected shortfall and related risk measures in weakly dependent time series. We can detect general multiple structural changes in the tails of marginal…

Econometrics · Economics 2025-10-07 Lin Fan , Junting Duan , Peter W. Glynn , Markus Pelger

We consider the combination of value-at-risk (VaR) and expected shortfall (ES) forecasts when a large pool of candidate forecasts is available. Given the limited literature in this area, we implement a variety of new combining methods. In…

Risk Management · Quantitative Finance 2026-05-15 James W. Taylor , Chao Wang

The aim of this paper is to describe a new an integrated methodology for project control under uncertainty. This proposal is based on Earned Value Methodology and risk analysis and presents several refinements to previous methodologies.…

Risk Management · Quantitative Finance 2024-06-06 Fernando Acebes , M Pereda , David Poza , Javier Pajares , Jose M Galan

In the last five years, expected shortfall (ES) and stressed ES (SES) have become key required regulatory measures of market risk in the banking sector, especially following events such as the global financial crisis. Thus, finding ways to…

Risk Management · Quantitative Finance 2025-12-16 Eden Gross , Ryan Kruger , Francois Toerien

Expected shortfall is defined as the average over the tail below (or above) a certain quantile of a probability distribution. Expected shortfall regression provides powerful tools for learning the relationship between a response variable…

Methodology · Statistics 2025-01-03 Shushu Zhang , Xuming He , Kean Ming Tan , Wen-Xin Zhou

We propose an original two-part, duration-severity approach for backtesting Expected Shortfall (ES). While Probability Integral Transform (PIT) based ES backtests have gained popularity, they have yet to allow for separate testing of the…

Risk Management · Quantitative Finance 2024-05-14 Sullivan Hué , Christophe Hurlin , Yang Lu

The Lambda Value-at-Risk (Lambda-VaR) is a generalization of the Value-at-Risk (VaR), which has been actively studied in quantitative finance. Over the past two decades, the Expected Shortfall (ES) has become one of the most important risk…

Mathematical Finance · Quantitative Finance 2026-01-08 Fabio Bellini , Muqiao Huang , Qiuqi Wang , Ruodu Wang

The importance of quality measures in process mining has increased. One of the key quality aspects, generalization, is concerned with measuring the degree of overfitting of a process model w.r.t. an event log, since the recorded behavior is…

Artificial Intelligence · Computer Science 2022-03-29 Daniel Reißner , Abel Armas-Cervantes , Marcello La Rosa

Value-at-risk (VaR) and expected shortfall (ES) are two commonly utilized metrics for quantifying financial risk. In this study, we review the widely employed Generalized Autoregressive Conditional Heteroskedasticity (GARCH) models. These…

Computation · Statistics 2024-05-14 Kanon Kamronnaher , Andrew Bellucco , Whitney K. Huang , Colin M. Gallagher

In high dimensional regression settings, sparsity enforcing penalties have proved useful to regularize the data-fitting term. A recently introduced technique called screening rules propose to ignore some variables in the optimization…

Machine Learning · Statistics 2017-12-29 Eugene Ndiaye , Olivier Fercoq , Alexandre Gramfort , Joseph Salmon

A generalization of expectiles for d-dimensional multivariate distribution functions is introduced. The resulting geometric expectiles are unique solutions to a convex risk minimization problem and are given by d-dimensional vectors. They…

Risk Management · Quantitative Finance 2018-01-19 Klaus Herrmann , Marius Hofert , Melina Mailhot

It is well known that Expected Shortfall (also called Average Value-at-Risk) is a convex risk measure, i. e. Expected Shortfall of a convex linear combination of arbitrary risk positions is not greater than a convex linear combination with…

Risk Management · Quantitative Finance 2019-10-03 Mikhail Tselishchev

To comply with increasingly stringent international standards in risk management and regulation, several approaches have been developed in the literature for forecasting tail-risk measures such as Value-at-Risk (VaR) and Expected Shortfall…

Risk Management · Quantitative Finance 2026-03-02 Alessandra Amendola , Vincenzo Candila , Antonio Naimoli , Giuseppe Storti

Historical (Stressed-) Value-at-Risk ((S)VAR), and Expected Shortfall (ES), are widely used risk measures in regulatory capital and Initial Margin, i.e. funding, computations. However, whilst the definitions of VAR and ES are unambiguous,…

Risk Management · Quantitative Finance 2014-05-30 Chris Kenyon , Andrew Green

A new realized conditional autoregressive Value-at-Risk (VaR) framework is proposed, through incorporating a measurement equation into the original quantile regression model. The framework is further extended by employing various Expected…

Risk Management · Quantitative Finance 2021-01-18 Chao Wang , Richard Gerlach , Qian Chen

Systemic risk is the risk that a company- or industry-level risk could trigger a huge collapse of another or even the whole institution. Various systemic risk measures have been proposed in the literature to quantify the domino and…

Risk Management · Quantitative Finance 2024-05-14 Tong Pu , Yifei Zhang , Yiying Zhang