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Accurately assessing financial risk requires capturing both individual asset volatility and the complex, asymmetric dependence structures that emerge during extreme market events. While modern diffusion-based models have advanced…

Machine Learning · Statistics 2026-05-20 David Huk , Dongshan Wang , Miha Bresar

We propose a class of dynamic vine copula models. This is an extension of static vine copulas and a generalization of dynamic C-vine and D-vine copulas studied by Almeida et al (2016) and Goel and Mehra (2019). Within this class, we allow…

Methodology · Statistics 2019-11-05 Alexander Kreuzer , Claudia Czado

Measuring a strength of dependence of random variables is an important problem in statistical practice. In this paper, we propose a new function valued measure of dependence of two random variables. It allows one to study and visualize…

Methodology · Statistics 2014-05-12 Teresa Ledwina

By capturing outliers, volatility clustering, and tail dependence in the asset return distribution, we build a sophisticated model to predict the downside risk of the global financial market. We further develop a dynamic regime switching…

Econometrics · Economics 2025-06-17 Yin Luo , Sheng Wang , Javed Jussa

We consider the problem of modeling the dependence among many time series. We build high dimensional time-varying copula models by combining pair-copula constructions (PCC) with stochastic autoregressive copula (SCAR) models to capture…

Methodology · Statistics 2012-02-10 Carlos Almeida , Claudia Czado , Hans Manner

Risk forecasts in financial regulation and internal management are calculated through historical data. The unknown structural changes of financial data poses a substantial challenge in selecting an appropriate look-back window for risk…

Risk Management · Quantitative Finance 2026-03-03 Yinhuan Li , Chenxin Lyu , Ruodu Wang

Dependence strucuture estimation is one of the important problems in machine learning domain and has many applications in different scientific areas. In this paper, a theoretical framework for such estimation based on copula and copula…

Machine Learning · Computer Science 2019-09-11 Jian Ma , Zengqi Sun

We present a dynamic model selection approach for resource-constrained prediction. Given an input instance at test-time, a gating function identifies a prediction model for the input among a collection of models. Our objective is to…

Machine Learning · Statistics 2017-04-26 Feng Nan , Venkatesh Saligrama

In this article we review existing literature on dynamic copulas and then propose an n-copula which varies in time and space. Our approach makes use of stochastic differential equations, and gives rise to a dynamic copula which is able to…

Statistics Theory · Mathematics 2008-12-18 Glenis Crane

In this paper, we model dependence between operational risks by allowing risk profiles to evolve stochastically in time and to be dependent. This allows for a flexible correlation structure where the dependence between frequencies of…

Risk Management · Quantitative Finance 2009-07-31 Gareth W. Peters , Pavel V. Shevchenko , Mario V. Wüthrich

A frequent task in exploratory data analysis consists in examining pairwise dependencies between data variables. Popular approaches include visualizing correlation or scatter plot matrices. However, both methods can be misleading. The…

Applications · Statistics 2022-04-04 Arturo Erdely , Manuel Rubio-Sanchez

Several collective risk models have recently been proposed by relaxing the widely used but controversial assumption of independence between claim frequency and severity. Approaches include the bivariate copula model, random effect model,…

Applications · Statistics 2019-06-11 Rosy Oh , Jae Youn Ahn , Woojoo Lee

Analysing dependent risks is an important task for insurance companies. A dependency is reflected in the fact that information about one random variable provides information about the likely distribution of values of another random…

Applications · Statistics 2021-03-22 Sen Hu , Adrian O'Hagan

Recent financial disasters have emphasised the need to accurately predict extreme financial losses and their consequences for the institutions belonging to a given financial market. The ability of econometric models to predict extreme…

Methodology · Statistics 2016-01-22 Mauro Bernardi , Leopoldo Catania

Multivariate time series exhibit two types of dependence: across variables and across time points. Vine copulas are graphical models for the dependence and can conveniently capture both types of dependence in the same model. We derive the…

Methodology · Statistics 2022-03-16 Thomas Nagler , Daniel Krüger , Aleksey Min

The mean-variance portfolio model, based on the risk-return trade-off for optimal asset allocation, remains foundational in portfolio optimization. However, its reliance on restrictive assumptions about asset return distributions limits its…

Portfolio Management · Quantitative Finance 2025-04-17 Savita Pareek , Sujit K. Ghosh

Accurately predicting stock repurchases is crucial for quantitative investment and risk management, yet traditional static models fail to capture the complex temporal dependencies of corporate financial conditions. This paper proposes a…

Statistical Finance · Quantitative Finance 2026-04-14 Xiang Ao , Jingxuan Zhang , Xinyu Zhao

This paper is concerned with modeling the dependence structure of two (or more) time-series in the presence of a (possible multivariate) covariate which may include past values of the time series. We assume that the covariate influences…

Statistics Theory · Mathematics 2018-12-11 Natalie Neumeyer , Marek Omelka , Sarka Hudecova

Standard Control Chart techniques to detect level shift in data streams assume independence between observations. As data today is collected with high frequency, this assumption is seldom valid. To overcome this, we propose to adapt the…

Methodology · Statistics 2019-11-11 Jacob Søgaard Larsen , Anders Stockmarr , Bjarne Kjær Ersbøll , Murat Kulahci

We address an important yet challenging problem - modeling high-dimensional dependencies across multivariates such as financial indicators in heterogeneous markets. In reality, a market couples and influences others over time, and the…

Statistical Finance · Quantitative Finance 2023-05-16 Jia Xu , Longbing Cao