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In this paper, we discuss the application of extreme value theory in the context of stationary $\beta$-mixing sequences that belong to the Fr\'echet domain of attraction. In particular, we propose a methodology to construct bias-corrected…

Statistics Theory · Mathematics 2017-08-24 Valérie Chavez-Demoulin , Armelle Guillou

We investigate to which extent the relevant features of (static) Systemic Risk Measures can be extended to a conditional setting. After providing a general dual representation result, we analyze in greater detail Conditional Shortfall…

Mathematical Finance · Quantitative Finance 2021-05-12 Alessandro Doldi , Marco Frittelli

To compare different forecasting methods on demand series we require an error measure. Many error measures have been proposed, but when demand is intermittent some become inapplicable, some give counter-intuitive results, and there is no…

Methodology · Statistics 2015-01-20 S. D. Prestwich , R. Rossi , S. A. Tarim , B. Hnich

The financial crisis has dramatically demonstrated that the traditional approach to apply univariate monetary risk measures to single institutions does not capture sufficiently the perilous systemic risk that is generated by the…

Mathematical Finance · Quantitative Finance 2015-04-27 Francesca Biagini , Jean-Pierre Fouque , Marco Frittelli , Thilo Meyer-Brandis

This study constructs an integrated early warning system (EWS) that identifies and predicts stock market turbulence. Based on switching ARCH (SWARCH) filtering probabilities of the high volatility regime, the proposed EWS first classifies…

Econometrics · Economics 2019-12-02 Peiwan Wang , Lu Zong , Ye Ma

In risk management, often the probability must be estimated that a random vector falls into an extreme failure set. In the framework of bivariate extreme value theory, we construct an estimator for such failure probabilities and analyze its…

Methodology · Statistics 2015-06-04 Holger Drees , Laurens de Haan

Expected Shortfall (ES) has been widely accepted as a risk measure that is conceptually superior to Value-at-Risk (VaR). At the same time, however, it has been criticised for issues relating to backtesting. In particular, ES has been found…

Risk Management · Quantitative Finance 2015-11-20 Susanne Emmer , Marie Kratz , Dirk Tasche

Measuring model risk is required by regulators on financial and insurance markets. We separate model risk into parameter estimation risk and model specification risk, and we propose expected shortfall type model risk measures applied to…

Econometrics · Economics 2020-10-29 Emese Lazar , Shuyuan Qi , Radu Tunaru

We propose a dynamical model for the estimation of Operational Risk in banking institutions. Operational Risk is the risk that a financial loss occurs as the result of failed processes. Examples of operational losses are the ones generated…

Risk Management · Quantitative Finance 2012-02-14 Marco Bardoscia , Roberto Bellotti

Many modern computational approaches to classical problems in quantitative finance are formulated as empirical loss minimization (ERM), allowing direct applications of classical results from statistical machine learning. These methods,…

Machine Learning · Statistics 2022-09-27 A. Max Reppen , H. Mete Soner

In multivariate extreme value theory (MEVT), the focus is on analysis outside of the observable sampling zone, which implies that the region of interest is associated to high risk levels. This work provides tools to include directional…

Applications · Statistics 2018-12-05 Raúl Torres , Elena Di Bernardino , Henry Laniado , Rosa E. Lillo

This paper investigates the use of extreme value theory for modelling the distribution of demand-net-of-wind for capacity adequacy assessment. Extreme value theory approaches are well-established and mathematically justified methods for…

Applications · Statistics 2019-07-31 Amy L Wilson , Stan Zachary

This paper investigates robust versions of the general empirical risk minimization algorithm, one of the core techniques underlying modern statistical methods. Success of the empirical risk minimization is based on the fact that for a…

Machine Learning · Statistics 2019-10-17 Stanislav Minsker , Timothée Mathieu

In financial risk management, Value at Risk (VaR) is widely used to estimate potential portfolio losses. VaR's limitation is its inability to account for the magnitude of losses beyond a certain threshold. Expected Shortfall (ES) addresses…

Risk Management · Quantitative Finance 2024-07-10 Federico Gatta , Fabrizio Lillo , Piero Mazzarisi

Taking the European Central Bank unconventional policies as a reference, we suggest a class of Multiplicative Error Models (MEM) taylored to analyze the impact such policies have on stock market volatility. The new set of models, called MEM…

Statistical Finance · Quantitative Finance 2021-03-26 Demetrio Lacava , Giampiero M. Gallo , Edoardo Otranto

Bank crisis is challenging to define but can be manifested through bank contagion. This study presents a comprehensive framework grounded in nonlinear time series analysis to identify potential early warning signals (EWS) for impending…

Risk Management · Quantitative Finance 2023-10-17 Shijia Song , Handong Li

It is often the case that risk assessment and prognostics are viewed as related but separate tasks. This chapter describes a risk-based approach to prognostics that seeks to provide a tighter coupling between risk assessment and fault…

Systems and Control · Electrical Eng. & Systems 2025-08-18 John W. Sheppard

Despite the simplicity and intuitive interpretation of Minimum Mean Squared Error (MMSE) estimators, their effectiveness in certain scenarios is questionable. Indeed, minimizing squared errors on average does not provide any form of…

Optimization and Control · Mathematics 2019-12-09 Dionysios S. Kalogerias , Luiz F. O. Chamon , George J. Pappas , Alejandro Ribeiro

Time-series forecasts play a critical role in business planning. However, forecasters typically optimize objectives that are agnostic to downstream business goals and thus can produce forecasts misaligned with business preferences. In this…

Machine Learning · Computer Science 2023-08-28 Helen Zhou , Sercan O. Arik , Jingtao Wang

This paper proposes a Conditional Method Confidence Set (CMCS) which allows to select the best subset of forecasting methods with equal predictive ability conditional on a specific economic regime. The test resembles the Model Confidence…

Econometrics · Economics 2025-05-28 Lukas Bauer , Ekaterina Kazak
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