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We develop a dynamic factor stochastic volatility-in-mean (SVM) specification for vector autoregressions (VARs) that embeds an SVM component within a dynamic factor stochastic volatility structure. A small number of latent volatility…

Methodology · Statistics 2026-04-07 Daichi Hiraki , Siddhartha Chib , Yasuhiro Omori

Probabilistic forecasting of multivariate time series is essential for various downstream tasks. Most existing approaches rely on the sequences being uniformly spaced and aligned across all variables. However, real-world multivariate time…

Machine Learning · Computer Science 2025-02-18 Yijun Li , Cheuk Hang Leung , Qi Wu

This paper investigates how the conditional quantiles of future returns and volatility of financial assets vary with various measures of ex-post variation in asset prices as well as option-implied volatility. We work in the flexible…

Statistical Finance · Quantitative Finance 2013-08-21 Filip Zikes , Jozef Barunik

We consider economic obstacles that limit the reliability and accuracy of value-at-risk (VaR). Investors who manage large market transactions should take into account the impact of the randomness of large trade volumes on predictions of…

General Economics · Economics 2024-04-30 Victor Olkhov

We present the conditional value-at-risk (CVaR) in the context of Markov chains and Markov decision processes with reachability and mean-payoff objectives. CVaR quantifies risk by means of the expectation of the worst p-quantile. As such it…

Logic in Computer Science · Computer Science 2018-05-09 Jan Křetínský , Tobias Meggendorfer

In this paper we derive the asymptotic distribution of normalized residual empirical autocovariances and autocorrelations under weak assumptions on the noise. We propose new portmanteau statistics for vector autoregressive moving-average…

Statistics Theory · Mathematics 2024-04-22 Yacouba Boubacar Maïnassara , Bruno Saussereau

Daily Value-at-Risk (VaR) for option books requires more than an accurate quantile forecast. It first requires a precise definition of the loss target. Before any model is evaluated, the protocol must fix the book construction rule, the…

Risk Management · Quantitative Finance 2026-05-19 Tenghan Zhong , Keyuan Wu

Financial markets are prominent examples for highly non-stationary systems. Sample averaged observables such as variances and correlation coefficients strongly depend on the time window in which they are evaluated. This implies severe…

Statistical Finance · Quantitative Finance 2015-06-15 Thilo A. Schmitt , Desislava Chetalova , Rudi Schäfer , Thomas Guhr

Forecasting risk (as measured by quantiles) and systemic risk (as measured by Adrian and Brunnermeiers's (2016) CoVaR) is important in economics and finance. However, past research has shown that predictive relationships may be unstable…

Methodology · Statistics 2026-03-11 Yannick Hoga

Understanding variable dependence, particularly eliciting their statistical properties given a set of covariates, provides the mathematical foundation in practical operations management such as risk analysis and decision-making given…

Methodology · Statistics 2023-09-06 Yunyun Wang , Tatsushi Oka , Dan Zhu

Risk measures are important key figures to measure the adequacy of the reserves of a company. The most common risk measures in practice are Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR). Recently, quantum-based algorithms are…

Quantum Physics · Physics 2025-01-29 Christian Laudagé , Ivica Turkalj

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

The global financial crisis of 2007-2009 highlighted the crucial role systemic risk plays in ensuring stability of financial markets. Accurate assessment of systemic risk would enable regulators to introduce suitable policies to mitigate…

Statistics Theory · Mathematics 2022-03-03 Natalia Nolde , Chen Zhou , Menglin Zhou

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

Methodology · Statistics 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

Real-world time series exhibit temporally structured uncertainty: volatility clusters in turbulent regimes, dissipates in stable periods, and shifts abruptly around structural breaks. Yet many probabilistic forecasting methods estimate…

Machine Learning · Computer Science 2026-05-26 Yijun Wang , Qiyuan Zhuang , Xiu-Shen Wei

Expected Shortfall (ES) is the average return on a risky asset conditional on the return being below some quantile of its distribution, namely its Value-at-Risk (VaR). The Basel III Accord, which will be implemented in the years leading up…

Economics · Quantitative Finance 2017-07-18 Andrew J. Patton , Johanna F. Ziegel , Rui Chen

This study is the first to analyze the performance of a time-series foundation AI model for Value-at-Risk (VaR), which essentially forecasts the left-tail quantiles of returns. Foundation models, pre-trained on diverse datasets, can be…

Risk Management · Quantitative Finance 2025-05-13 Anubha Goel , Puneet Pasricha , Juho Kanniainen

Under the framework of dynamic conditional score, we propose a parametric forecasting model for Value-at-Risk based on the normal inverse Gaussian distribution (Hereinafter NIG-DCS-VaR), which creatively incorporates intraday information…

Risk Management · Quantitative Finance 2021-10-07 Shijia Song , Handong Li

The Fama-French model is widely used in assessing the portfolio's performance compared to market returns. In Fama-French models, all factors are time-series data. The cross-sectional data are slightly different from the time series data. A…

Statistical Finance · Quantitative Finance 2020-06-05 Javad Shaabani , Ali Akbar Jafari

We investigate the performance and sampling variability of estimated forecast combinations, with particular attention given to the combination of forecast distributions. Unknown parameters in the forecast combination are optimized according…

Methodology · Statistics 2022-06-07 Ryan Zischke , Gael M. Martin , David T. Frazier , D. S. Poskitt