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There are various metrics for financial risk, such as value at risk (VaR), expected shortfall, expected/unexpected loss, etc. When estimating these metrics, it was very common to assume Gaussian distribution for the asset returns, which may…

Applications · Statistics 2020-02-17 Shuguang Zhang , Minjing Tao , Xu-Feng Niu , Fred Huffer

Wrong-way risk in counterparty and funding exposures is most dramatic in the situations of systemic crises and tails events. A consistent model of wrong-way risk (WWR) is developed here with the probability-weighted addition of tail events…

Pricing of Securities · Quantitative Finance 2012-08-28 Mihail Turlakov

With uncertain changes of the economic environment, macroeconomic downturns during recessions and crises can hardly be explained by a Gaussian structural shock. There is evidence that the distribution of macroeconomic variables is skewed…

Econometrics · Economics 2021-05-25 Sune Karlsson , Stepan Mazur , Hoang Nguyen

Mediation analysis is an important analytic tool commonly used in a broad range of scientific applications. In this article, we study the problem of mediation analysis when there are multivariate and conditionally dependent mediators, and…

Methodology · Statistics 2025-01-28 Lan Luo , Chengchun Shi , Jitao Wang , Zhenke Wu , Lexin Li

Multivariate extreme value distributions are a common choice for modelling multivariate extremes. In high dimensions, however, the construction of flexible and parsimonious models is challenging. We propose to combine bivariate max-stable…

Methodology · Statistics 2024-12-25 Shuang Hu , Zuoxiang Peng , Johan Segers

Accurate forecasting of risk is the key to successful risk management techniques. Using the largest stock index futures from twelve European bourses, this paper presents VaR measures based on their unconditional and conditional…

Risk Management · Quantitative Finance 2011-03-30 John Cotter

The quantitative analysis of financial time series often reveals two distinct features that standard Gaussian frameworks fail to capture: heavy-tailed marginal distributions and the phenomenon of extreme co-movements.While extreme value…

Statistics Theory · Mathematics 2026-05-14 Debanjana Datta , Diganta Mukherjee

Correlations between asset returns are important in many financial applications. In recent years, multivariate volatility models have been used to describe the time-varying feature of the correlations. However, the curse of dimensionality…

Statistics Theory · Mathematics 2008-12-02 Ruey S. Tsay

The concept of univariate Range Value-at-Risk, presented by Cont et al. (2010), is extended in the multidimensional setting. Traditional risk measures are not well suited when dealing with heavy-tail distributions and infinite tail…

Risk Management · Quantitative Finance 2020-05-27 Roba Bairakdar , Lu Cao , Melina Mailhot

Conditional Value-at-Risk (CoVaR) quantifies systemic financial risk by measuring the loss quantile of one asset, conditional on another asset experiencing distress. We develop a Transformer-based methodology that integrates financial news…

Econometrics · Economics 2026-02-16 Junyu Chen , Tom Boot , Lingwei Kong , Weining Wang

Risk management is very important for individual investors or companies. There are many ways to measure the risk of investment. Prices of risky assets vary rapidly and randomly due to the complexity of finance market. Random interval is a…

Portfolio Management · Quantitative Finance 2022-07-26 Jinping Zhang , Keming Zhang

Due to globalization and relaxed market regulation, we have assisted to an increasing of extremal dependence in international markets. As a consequence, several measures of tail dependence have been stated in literature in recent years,…

Statistics Theory · Mathematics 2011-08-10 Helena Ferreira , Marta Ferreira

Modelling multivariate tail dependence is one of the key challenges in extreme-value theory. Multivariate extremes are usually characterized using parametric models, some of which have simpler submodels at the boundary of their parameter…

Methodology · Statistics 2018-12-17 Anna Kiriliouk

This paper presents a novel semiparametric method to study the effects of extreme events on binary outcomes and subsequently forecast future outcomes. Our approach, based on Bayes' theorem and regularly varying (RV) functions, facilitates a…

Econometrics · Economics 2025-02-25 Laura Liu , Yulong Wang

The modelling of multivariate extreme events is important in a wide variety of applications, including flood risk analysis, metocean engineering and financial modelling. A wide variety of statistical techniques have been proposed in the…

Methodology · Statistics 2025-09-16 Callum John Rowlandson Murphy-Barltrop , Ed Mackay , Philip Jonathan

Risk measures like Marginal Expected Shortfall and Marginal Mean Excess quantify conditional risk and in particular, aid in the understanding of systemic risk. In many such scenarios, models exhibiting heavy tails in the margins and…

Probability · Mathematics 2018-02-07 Bikramjit Das , Vicky Fasen-Hartmann

Misperceptions about extreme dependencies between different financial assets have been an im- portant element of the recent financial crisis. This paper studies inhomogeneity in dependence structures using Markov switching regular vine…

Methodology · Statistics 2012-02-10 Jakob Stoeber , Claudia Czado

Extremal dependence between international stock markets is of particular interest in today's global financial landscape. However, previous studies have shown this dependence is not necessarily stationary over time. We concern ourselves with…

Statistical Finance · Quantitative Finance 2017-09-06 Daniela Castro Camilo , Miguel de Carvalho , Jennifer Wadsworth

Determining the causes of extreme events is a fundamental question in many scientific fields. An important aspect when modelling multivariate extremes is the tail dependence. In application, the extreme dependence structure may…

Methodology · Statistics 2022-12-21 Juraj Bodik , Linda Mhalla , Valérie Chavez-Demoulin

The Multivariate Extreme Value distributions have shown their usefulness in environmental studies, financial and insurance mathematics. The Logistic or Gumbel-Hougaard distribution is one of the oldest multivariate extreme value models and…

Probability · Mathematics 2011-04-29 Helena Ferreira , Luísa Pereira
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