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We consider a class of semi-parametric dynamic models with strong white noise errors. This class of processes includes the standard Vector Autoregressive (VAR) model, the nonfundamental structural VAR, the mixed causal-noncausal models, as…

计量经济学 · 经济学 2021-07-16 Christian Gourieroux , Joann Jasiak

This paper unifies and extends results on a class of multivariate Extreme Value (EV) models studied by Hougaard, Crowder, and Tawn. In these models both unconditional and conditional distributions are EV, and all lower-dimensional marginals…

统计方法学 · 统计学 2013-09-30 Anne-Laure Fougères , John P. Nolan , Holger Rootzén

Accurate forecasting of the Volatility-Covariance Matrix (VCV) is central to regulatory capital adequacy processes such as the Internal Capital Adequacy Assessment Process (ICAAP) and the Comprehensive Capital Analysis and Review (CCAR).…

风险管理 · 定量金融 2026-05-19 Ujjwala Vadrevu

This study seeks to advance the understanding and prediction of stock market return uncertainty through the application of advanced deep learning techniques. We introduce a novel deep learning model that utilizes a Gaussian mixture…

风险管理 · 定量金融 2025-03-11 Yanlong Wang , Jian Xu , Shao-Lun Huang , Danny Dongning Sun , Xiao-Ping Zhang

In extreme value analysis, tail behavior of a heavy-tailed data distribution is modeled by a Pareto-type distribution in which the so-called extreme value index (EVI) controls the tail behavior. For heavy-tailed data obtained from multiple…

统计方法学 · 统计学 2026-01-08 Koki Momoki , Takuma Yoshida

Optimizing risk measures such as Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) of a general loss distribution is usually difficult, because 1) the loss function might lack structural properties such as convexity or…

最优化与控制 · 数学 2016-08-03 Helin Zhu , Joshua Hale , Enlu Zhou

The Value-at-Risk (VaR) and the Expected Shortfall (ES) are the two most popular risk measures in banking and insurance regulation. To bridge between the two regulatory risk measures, the Probability Equivalent Level of VaR-ES (PELVE) was…

风险管理 · 定量金融 2023-06-30 Hirbod Assa , Liyuan Lin , Ruodu Wang

We study dynamical behavior of the Chinese stock markets by investigating the statistical properties of daily ensemble returns and varieties defined respectively as the mean and the standard deviation of the ensemble daily price returns of…

物理与社会 · 物理学 2008-12-02 Gao-Feng Gu , Wei-Xing Zhou

Risk-sensitive reinforcement learning (RL) has garnered significant attention in recent years due to the growing interest in deploying RL agents in real-world scenarios. A critical aspect of risk awareness involves modeling highly rare risk…

机器学习 · 计算机科学 2023-08-30 Karthik Somayaji NS , Yu Wang , Malachi Schram , Jan Drgona , Mahantesh Halappanavar , Frank Liu , Peng Li

We study the prediction of Value at Risk (VaR) for cryptocurrencies. In contrast to classic assets, returns of cryptocurrencies are often highly volatile and characterized by large fluctuations around single events. Analyzing a…

统计金融 · 定量金融 2024-12-20 Rebekka Buse , Konstantin Görgen , Melanie Schienle

Based on law of large numbers and central limit theorem under nonlinear expectation, we introduce a new method of using G-normal distribution to measure financial risks. Applying max-mean estimators and small windows method, we establish…

数理金融 · 定量金融 2021-07-28 Shige Peng , Shuzhen Yang

Extremal dependence between international stock markets is of particular interest in today's global financial landscape. However, previous studies have shown this dependence is not necessarily stationary over time. We concern ourselves with…

统计金融 · 定量金融 2017-09-06 Daniela Castro Camilo , Miguel de Carvalho , Jennifer Wadsworth

Bayesian spatial modeling of heavy-tailed distributions has become increasingly popular in various areas of science in recent decades. We propose a Weibull regression model with spatial random effects for analyzing extreme economic loss.…

应用统计 · 统计学 2019-12-10 Hou-Cheng Yang , Lijiang Geng , Yishu Xue , Guanyu Hu

Entropic Value-at-Risk (EVaR) measure is a convenient coherent risk measure. Due to certain difficulties in finding its analytical representation, it was previously calculated explicitly only for the normal distribution. We succeeded to…

风险管理 · 定量金融 2024-03-05 Yuliya Mishura , Kostiantyn Ralchenko , Petro Zelenko , Volodymyr Zubchenko

We study tail risk dynamics in high-frequency financial markets and their connection with trading activity and market uncertainty. We introduce a dynamic extreme value regression model accommodating both stationary and local unit-root…

计量经济学 · 经济学 2023-01-05 Julien Hambuckers , Li Sun , Luca Trapin

We provided proof here that coefficient of variation (CV) is a direct measure of risk using an equation that has been derived here for the first time. We also presented a method to generate a stock CV based on return that strongly…

数理金融 · 定量金融 2022-06-22 Julius O. Campeciño

Due to the skessed distribution, high peak and thick tail and asymmetry of financial return data, it is difficult to describe the traditional distribution. In recent years, generalized autoregressive score (GAS) has been used in many fields…

风险管理 · 定量金融 2020-10-14 Hong Shaopeng

Quantification of risk positions under model uncertainty is of crucial importance from both viewpoints of external regulation and internal management. The concept of model uncertainty, sometimes also referred to as model ambiguity. Although…

风险管理 · 定量金融 2019-08-06 Wentao Hu

We account for time-varying parameters in the conditional expectile-based value at risk (EVaR) model. The EVaR downside risk is more sensitive to the magnitude of portfolio losses compared to the quantile-based value at risk (QVaR). Rather…

统计金融 · 定量金融 2020-09-29 Xiu Xu , Andrija Mihoci , Wolfgang Karl Härdle

Value-at-risk (VaR) has been playing the role of a standard risk measure since its introduction. In practice, the delta-normal approach is usually adopted to approximate the VaR of portfolios with option positions. Its effectiveness,…

统计方法学 · 统计学 2019-04-22 Junyao Chen , Tony Sit , Hoi Ying Wong