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Time Series Forecasting (TSF) is a widely researched topic with broad applications in weather forecasting, traffic control, and stock price prediction. Extreme values in time series often significantly impact human and natural systems, but…

机器学习 · 计算机科学 2023-10-12 Jincheng Wang , Yue Gao

Accurate forecasting of volatility and return quantiles is essential for evaluating financial tail risks such as value-at-risk and expected shortfall. This study proposes an extension of the traditional stochastic volatility model, termed…

计量经济学 · 经济学 2026-02-02 Makoto Takahashi , Yuta Yamauchi , Toshiaki Watanabe , Yasuhiro Omori

"Green Premiums" which means the difference in cost between emissions-emitting technology and zero-emissions or emissions-reducing technology is significant for those renewable energy technology to address the climate change challenge…

系统与控制 · 电气工程与系统科学 2023-02-28 Zhi Li , Hang Fan , Shuyan Dong

Basel II and Solvency 2 both use the Value-at-Risk (VaR) as the risk measure to compute the Capital Requirements. In practice, to calibrate the VaR, a normal approximation is often chosen for the unknown distribution of the yearly log…

统计方法学 · 统计学 2013-11-04 Marie Kratz

Recent developments in financial time series focus on modeling volatility across multiple assets or indices in a multivariate framework, accounting for potential interactions such as spillover effects. Furthermore, the increasing…

应用统计 · 统计学 2026-01-26 Edoardo Otranto , Luca Scaffidi Domianello

We propose a new measure of systemic risk to analyze the impact of the major financial market turmoils in the stock markets from 2000 to 2023 in the USA, Europe, Brazil, and Japan. Our Implied Volatility Realized Volatility Systemic Risk…

风险管理 · 定量金融 2023-07-13 Paweł Sakowski , Rafał Sieradzki , Robert Ślepaczuk

Extreme value statistics (EVS) concerns the study of the statistics of the maximum or the minimum of a set of random variables. This is an important problem for any time-series and has applications in climate, finance, sports, all the way…

统计力学 · 物理学 2020-10-12 Satya N. Majumdar , Arnab Pal , Gregory Schehr

Appropriate risk management is crucial to ensure the competitiveness of financial institutions and the stability of the economy. One widely used financial risk measure is Value-at-Risk (VaR). VaR estimates based on linear and parametric…

统计金融 · 定量金融 2020-09-16 Marius Lux , Wolfgang Karl Härdle , Stefan Lessmann

Extreme environmental phenomena such as major precipitation events manifestly exhibit spatial dependence. Max-stable processes are a class of asymptotically-justified models that are capable of representing spatial dependence among extreme…

应用统计 · 统计学 2013-01-09 Brian J. Reich , Benjamin A. Shaby

We exploit the asymptotic normality of the extreme value theory (EVT) based estimators of the parameters of a symmetric L\'evy-stable distribution, to construct confidence intervals. The accuracy of these intervals is evaluated through a…

统计理论 · 数学 2019-04-11 Djamel Meraghni , Louiza Soltane

We introduce a method to estimate simultaneously the tail and the threshold parameters of an extreme value regression model. This standard model finds its use in finance to assess the effect of market variables on extreme loss distributions…

统计方法学 · 统计学 2023-04-17 Julien Hambuckers , Marie Kratz , Antoine Usseglio-Carleve

Most extreme events in real life can be faithfully modeled as random realizations from a Generalized Pareto distribution, which depends on two parameters: the scale and the shape. In many actual situations, one is mostly concerned with the…

统计理论 · 数学 2016-06-30 Paul Rochet , Isabel Serra

Extreme Value Theory (EVT) is exploited to determine the global stability threshold $R_g$ of plane Couette flow --the flow of a viscous fluid in the space between two parallel plates-- whose laminar or turbulent behavior depends on the…

动力系统 · 数学 2014-03-24 Davide Faranda , Valerio Lucarini , Paul Manneville , Jeroen Wouters

Estimating covariances between financial assets plays an important role in risk management. In practice, when the sample size is small compared to the number of variables, the empirical estimate is known to be very unstable. Here, we…

计算工程、金融与科学 · 计算机科学 2019-04-19 Rajbir-Singh Nirwan , Nils Bertschinger

Accurately characterizing the implied volatility curves is a central challenge in option pricing and risk management. The classical SABR model by Hagan et al. has been widely adopted in practice due to its well-defined stochastic volatility…

数理金融 · 定量金融 2026-03-31 Wenxuan Zhang , Zhouchi Lin , Benzhuo Lu

The paper Zhao et al. (2015) shows that mean-CVaR-skewness portfolio optimization problems based on asymetric Laplace (AL) distributions can be transformed into quadratic optimization problems under which closed form solutions can be found.…

投资组合管理 · 定量金融 2023-02-20 Nuerxiati Abudurexiti , Kai He , Dongdong Hu , Svetlozar T. Rachev , Hasanjan Sayit , Ruoyu Sun

Two key tasks in high-dimensional regularized regression are tuning the regularization strength for accurate predictions and estimating the out-of-sample risk. It is known that the standard approach -- $k$-fold cross-validation -- is…

统计理论 · 数学 2025-10-24 Kevin Luo , Yufan Li , Pragya Sur

Designing dynamic portfolio insurance strategies under market conditions switching between two or more regimes is a challenging task in financial economics. Recently, a promising approach employing the value-at-risk (VaR) measure to assign…

计算金融 · 定量金融 2023-05-23 Peyman Alipour , Ali Foroush Bastani

There is substantial empirical and climatological evidence that precipitation extremes have become more extreme during the twentieth century, and that this trend is likely to continue as global warming becomes more intense. However,…

Ensuring safety is a critical challenge in applying Reinforcement Learning (RL) to real-world scenarios. Constrained Reinforcement Learning (CRL) addresses this by maximizing returns under predefined constraints, typically formulated as the…

机器学习 · 计算机科学 2026-01-21 Shiqing Gao , Yihang Zhou , Shuai Shao , Haoyu Luo , Yiheng Bing , Jiaxin Ding , Luoyi Fu , Xinbing Wang