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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…

Econometrics · Economics 2026-02-02 Makoto Takahashi , Yuta Yamauchi , Toshiaki Watanabe , Yasuhiro Omori

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…

Risk Management · Quantitative Finance 2019-08-06 Wentao Hu

The joint Value at Risk (VaR) and expected shortfall (ES) quantile regression model of Taylor (2017) is extended via incorporating a realized measure, to drive the tail risk dynamics, as a potentially more efficient driver than daily…

Risk Management · Quantitative Finance 2018-05-23 Richard Gerlach , Chao Wang

We extend the standard VAR to jointly model the dynamics of binary, censored and continuous variables, and develop an efficient estimation approach that scales well to high-dimensional settings. In an out-of-sample forecasting exercise, we…

Econometrics · Economics 2025-06-03 Joshua C. C. Chan , Michael Pfarrhofer

We propose a novel variational Bayes approach to estimate high-dimensional vector autoregression (VAR) models with hierarchical shrinkage priors. Our approach does not rely on a conventional structural VAR representation of the parameter…

Econometrics · Economics 2023-07-03 Mauro Bernardi , Daniele Bianchi , Nicolas Bianco

This paper extends quantile factor analysis to a probabilistic variant that incorporates regularization and computationally efficient variational approximations. We establish through synthetic and real data experiments that the proposed…

Econometrics · Economics 2024-08-16 Dimitris Korobilis , Maximilian Schröder

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

In this paper, we develop a theoretical framework for bounding the CVaR of a random variable $X$ using another related random variable $Y$, under assumptions on their cumulative and density functions. Our results yield practical tools for…

Statistics Theory · Mathematics 2025-07-31 Yaacov Pariente , Vadim Indelman

Estimation and prediction in high dimensional multivariate factor stochastic volatility models is an important and active research area because such models allow a parsimonious representation of multivariate stochastic volatility. Bayesian…

Computation · Statistics 2021-04-27 David Gunawan , Robert Kohn , David Nott

Bayesian forecasting is developed in multivariate time series analysis for causal inference. Causal evaluation of sequentially observed time series data from control and treated units focuses on the impacts of interventions using…

Methodology · Statistics 2024-06-21 Graham Tierney , Christoph Hellmayr , Greg Barkimer , Kevin Li , Mike West

This study introduces a dynamic Bayesian network (DBN) framework for forecasting value at risk (VaR) and stressed VaR (SVaR) and compares its performance to several commonly applied models. Using daily S&P 500 index returns from 1991 to…

Risk Management · Quantitative Finance 2025-12-08 Eden Gross , Ryan Kruger , Francois Toerien

This paper proposes a novel method for demand forecasting in a pricing context. Here, modeling the causal relationship between price as an input variable to demand is crucial because retailers aim to set prices in a (profit) optimal manner…

Conditional Value-at-Risk (CVaR) and Value-at-Risk (VaR), also called the superquantile and quantile, are frequently used to characterize the tails of probability distribution's and are popular measures of risk. Buffered Probability of…

Risk Management · Quantitative Finance 2019-02-19 Matthew Norton , Valentyn Khokhlov , Stan Uryasev

Accurate macroeconomic forecasting has become harder amid geopolitical disruptions, policy reversals, and volatile financial markets. Conventional vector autoregressions (VARs) overfit in high dimensional settings, while threshold VARs…

Econometrics · Economics 2025-10-28 Shovon Sengupta , Sunny Kumar Singh , Tanujit Chakraborty

Probabilistic forecasting in power systems often involves multi-entity datasets like households, feeders, and wind turbines, where generating reliable entity-specific forecasts presents significant challenges. Traditional approaches require…

Machine Learning · Computer Science 2025-06-27 Kutay Bölat , Simon Tindemans

Accurate crude oil price forecasting is crucial for various economic activities, including energy trading, risk management, and investment planning. Although deep learning models have emerged as powerful tools for crude oil price…

Machine Learning · Computer Science 2024-12-17 Mohammed Alruqimi , Luca Di Persio

Inflation exhibits state-dependent, skewed, and fat-tailed dynamics that make risk a central concern for monetary policy. Accordingly, inflation risks are distributional and cannot be fully captured by mean-based models. We propose a…

Econometrics · Economics 2026-01-29 Yunyun Wang , Tatsushi Oka , Dan Zhu

While neural networks are achieving high predictive accuracy in multi-horizon probabilistic forecasting, understanding the underlying mechanisms that lead to feature-conditioned outputs remains a significant challenge for forecasters. In…

Machine Learning · Computer Science 2025-09-18 Alessandro Brusaferri , Danial Ramin , Andrea Ballarino

Variational inference is an approximation framework for Bayesian inference that seeks to improve quantified uncertainty in predictions by optimizing a simplified distribution over parameters to stand in for the full posterior. Capturing…

Machine Learning · Computer Science 2023-09-12 Jed A. Duersch

Crude oil is a major component in most advanced economies of the world. Accurately predicting and understanding the behavior of crude oil prices is important for economists, analysts, forecasters, and traders, to name a few. The price of…

Machine Learning · Computer Science 2018-11-26 Ganapathy S. Natarajan , Aishwarya Ashok
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