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Discrimination between non-stationarity and long-range dependency is a difficult and long-standing issue in modelling financial time series. This paper uses an adaptive spectral technique which jointly models the non-stationarity and…

Statistical Finance · Quantitative Finance 2019-02-12 Nick James , Roman Marchant , Richard Gerlach , Sally Cripps

In this paper we estimate the conditional value-at-risk by fitting different multivariate parametric models capturing some stylized facts about multivariate financial time series of equity returns: heavy tails, negative skew, asymmetric…

Risk Management · Quantitative Finance 2020-09-24 Michele Leonardo Bianchi , Giovanni De Luca , Giorgia Rivieccio

Heavy-tailed probability distributions are extremely useful and play a crucial role in modeling different types of financial data sets. This study presents a two-pronged methodology. First, a mixture probability distribution is created by…

Applications · Statistics 2025-10-14 Pankaj Kumar , Vivek Vijay

We consider the tail probabilities of stock returns for a general class of stochastic volatility models. In these models, the stochastic differential equation for volatility is autonomous, time-homogeneous and dependent on only a finite…

Statistical Finance · Quantitative Finance 2019-03-21 Henrik O. Rasmussen , Paul Wilmott

Sequential user behavior modeling plays a crucial role in online user-oriented services, such as product purchasing, news feed consumption, and online advertising. The performance of sequential modeling heavily depends on the scale and…

Machine Learning · Computer Science 2020-11-03 Jianwen Yin , Chenghao Liu , Weiqing Wang , Jianling Sun , Steven C. H. Hoi

This paper aims to more effectively manage and mitigate stock market risks by accurately characterizing financial market returns and volatility. We enhance the Stochastic Volatility (SV) model by incorporating fat-tailed distributions and…

Applications · Statistics 2024-12-31 Minheng Xiao

We propose a family of models that enable predictive estimation of time-varying extreme event probabilities in heavy-tailed and nonlinearly dependent time series. The models are a white noise process with conditionally log-Laplace…

Methodology · Statistics 2021-01-19 Gordon V. Chavez

We re-visit tail the index regressions framework. For linear specifications, we find that the usual full rank condition can fail because conditioning on extreme outcomes causes regressors to degenerate to constants. Taking this into…

Econometrics · Economics 2025-12-23 Thomas T. Yang

The problem of time-series forecasting in non-stationary and complex environments is a challenging task in machine learning, especially with heterogeneous numerical and textual data present. Traditional statistical models like…

Statistical Finance · Quantitative Finance 2026-05-05 Alexis Lazanas , Spyridon Karpouzis

Modern risk modelling approaches deal with vectors of multiple components. The components could be, for example, returns of financial instruments or losses within an insurance portfolio concerning different lines of business. One of the…

Probability · Mathematics 2021-05-12 Miriam Hägele , Jaakko Lehtomaa

We propose a parsimonious spatiotemporal model for time series data on a spatial grid. Our model is capable of dealing with high-dimensional time series data that may be collected at hundreds of locations and capturing the spatial…

Methodology · Statistics 2021-03-02 Yuan Yan , Hsin-Cheng Huang , Marc G. Genton

Deep learning searches for nonlinear factors for predicting asset returns. Predictability is achieved via multiple layers of composite factors as opposed to additive ones. Viewed in this way, asset pricing studies can be revisited using…

Machine Learning · Statistics 2018-04-27 Guanhao Feng , Jingyu He , Nicholas G. Polson

Volatility clustering and spillovers are key features of real-world financial time series when there are a lot of cross-sectional financial assets. While network analysis helps connect stocks that are 'similar' or 'correlated', which is…

Methodology · Statistics 2025-10-22 Peiyi Zhou

In this paper we propose a new model for volatility fluctuations in financial time series. This model relies on a non-stationary gaussian process that exhibits aging behavior. It turns out that its properties, over any finite time interval,…

Statistical Finance · Quantitative Finance 2015-06-12 J. F. Muzy , R. Baile , E. Bacry

Many financial time series have varying structures at different quantile levels, and also exhibit the phenomenon of conditional heteroscedasticity at the same time. In the meanwhile, it is still lack of a time series model to accommodate…

Statistics Theory · Mathematics 2020-12-29 Qianqian Zhu , Guodong Li

Prediction is a key issue in time series analysis. Just as classical mean regression models, classical autoregressive methods, yielding L$^2$ point-predictions, provide rather poor predictive summaries; a much more informative approach is…

Statistics Theory · Mathematics 2025-10-06 Alberto González-Sanz , Marc Hallin , Yisha Yao

Tail risk protection is in the focus of the financial industry and requires solid mathematical and statistical tools, especially when a trading strategy is derived. Recent hype driven by machine learning (ML) mechanisms has raised the…

Risk Management · Quantitative Finance 2021-08-25 Bruno Spilak , Wolfgang Karl Härdle

We consider an investor, whose portfolio consists of a single risky asset and a risk free asset, who wants to maximize his expected utility of the portfolio subject to managing the Value at Risk (VaR) assuming a heavy tailed distribution of…

Portfolio Management · Quantitative Finance 2020-12-02 Subhojit Biswas , Mrinal K. Ghosh , Diganta Mukherjee

Vector autoregressive (VAR) models are popularly adopted for modelling high-dimensional time series, and their piecewise extensions allow for structural changes in the data. In VAR modelling, the number of parameters grow quadratically with…

Methodology · Statistics 2023-01-23 Haeran Cho , Hyeyoung Maeng , Idris A. Eckley , Paul Fearnhead

Financial networks based on Pearson correlations have been intensively studied. However, previous studies may have led to misleading and catastrophic results because of several critical shortcomings of the Pearson correlation. The local…

General Finance · Quantitative Finance 2025-12-04 Peng Liu