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Systemic risk measures are crucial for the stability of financial markets, yet classical formulations fail to capture the complexity of market volatility. We propose a new framework for systemic risk measurement on the variable-exponent…

Risk Management · Quantitative Finance 2026-02-25 Fei Sun , Jieming Zhou

A new semi-parametric Expected Shortfall (ES) estimation and forecasting framework is proposed. The proposed approach is based on a two-step estimation procedure. The first step involves the estimation of Value-at-Risk (VaR) at different…

Risk Management · Quantitative Finance 2021-03-16 Giuseppe Storti , Chao Wang

A robust adaptive model predictive control (MPC) algorithm is presented for linear, time invariant systems with unknown dynamics and subject to bounded measurement noise. The system is characterized by an impulse response model, which is…

Systems and Control · Electrical Eng. & Systems 2019-11-21 Anilkumar Parsi , Andrea Iannelli , Mingzhou Yin , Mohammad Khosravi , Roy S. Smith

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

Analysis of competing risks data is often complicated by the incomplete or selectively missing information on the cause of failure. Standard approaches typically assume that the cause of failure is missing at random (MAR), an assumption…

It is of growing concern to ensure resilience in power distribution systems to extreme weather events. However, there are no clear methodologies or metrics available for resilience assessment that allows system planners to assess the impact…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Abodh Poudyal , Anamika Dubey , Shiva Poudel

This work proposes an augmented variant of DebtRank with uncertainty intervals as a method to investigate and assess systemic risk in financial networks, in a context of incomplete data. The algorithm is tested against a default contagion…

Risk Management · Quantitative Finance 2014-12-05 Stefano Gurciullo

We propose to interpret distribution model risk as sensitivity of expected loss to changes in the risk factor distribution, and to measure the distribution model risk of a portfolio by the maximum expected loss over a set of plausible…

Risk Management · Quantitative Finance 2013-01-22 Thomas Breuer , Imre Csiszar

The frequent occurrence of natural disasters has posed significant challenges to society, necessitating the urgent development of effective risk management strategies. From the early informal community-based risk sharing mechanisms to…

Risk Management · Quantitative Finance 2025-08-06 Lichen Wang , Shijia Hua , Yuyuan Liu , Zhengyuan Lu , Liang Zhang , Linjie Liu , Attila Szolnoki

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 investigate the problem of finding upper and lower bounds for a Choquet risk measure of a nonlinear function of two risk factors, when the marginal distributions of the risk factors are ambiguous and represented by nonadditive measures…

Probability · Mathematics 2023-05-19 Mario Ghossoub , David Saunders , Kelvin Shuangjian Zhang

Model uncertainty has been one prominent issue both in the theory of risk measures and in practice such as financial risk management and regulation. Motivated by this observation, in this paper, we take a new perspective to describe the…

Theoretical Economics · Economics 2025-04-14 Shuo Gong , Yijun Hu , Linxiao Wei

Due to their heterogeneity, insurance risks can be properly described as a mixture of different fixed models, where the weights assigned to each model may be estimated empirically from a sample of available data. If a risk measure is…

Risk Management · Quantitative Finance 2018-02-12 Valeria Bignozzi , Claudio Macci , Lea Petrella

We provide a framework for detecting relevant insurance companies in a systemic risk perspective. Among the alternative methodologies for measuring systemic risk, we propose a complex network approach where insurers are linked to form a…

Risk Management · Quantitative Finance 2020-11-24 Gian Paolo Clemente , Alessandra Cornaro

Resource adequacy studies typically use standard metrics such as Loss of Load Expectation and Expected Energy Unserved to quantify the risk of supply shortfalls. This paper critiques present approaches to adequacy assessment and capacity…

Applications · Statistics 2023-09-13 Chris J. Dent , Nestor Sanchez , Aditi Shevni , Jim Q. Smith , Amy L. Wilson , Xuewen Yu

Parametric insurance contracts translate index measurements to compensation for policyholders' losses using predefined payment schemes. These need to be designed carefully to keep basis risk, i.e. the disparity between payouts and true…

Applications · Statistics 2026-04-24 Markus Johannes Maier , Matthias Scherer

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

The multi-armed bandit (MAB) is a classical online optimization model for the trade-off between exploration and exploitation. The traditional MAB is concerned with finding the arm that minimizes the mean cost. However, minimizing the mean…

Optimization and Control · Mathematics 2018-09-17 Jianyu Xu , William B. Haskell , Zhisheng Ye

We axiomatically introduce risk-consistent conditional systemic risk measures defined on multidimensional risks. This class consists of those conditional systemic risk measures which can be decomposed into a state-wise conditional…

Risk Management · Quantitative Finance 2016-09-27 Hannes Hoffmann , Thilo Meyer-Brandis , Gregor Svindland

Under Solvency II, the Value-at-Risk (VaR) is applied, although there is broad consensus that the Expected Shortfall (ES) constitutes a more appropriate risk measure. Moving towards ES would necessitate specifying the corresponding ES…

Mathematical Finance · Quantitative Finance 2026-03-16 Christian Laudagé , Jörn Sass