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We introduce a novel bivariate copula model able to capture both the central and tail dependence of the joint probability distribution. Model that can capture the dependence structure within the joint tail have important implications in…

统计方法学 · 统计学 2025-08-01 Maria Concepción Ausín , Maria Kalli

We propose a Gaussian-copula-based framework that learns deal-level dependence directly from observed joint success frequencies across founder, geography, and market attributes. Holding marginal deal success probabilities fixed, deal-level…

投资组合管理 · 定量金融 2026-04-28 Yunqi Liang , Hasan Ugur Koyluoglu , Fuat Alican , Yigit Ihlamur

Tail dependence refers to clustering of extreme events. In the context of financial risk management, the clustering of high-severity risks has a devastating effect on the well-being of firms and is thus of pivotal importance in risk…

应用统计 · 统计学 2016-07-19 Edward Furman , Alexey Kuznetsov , Jianxi Su , Ricardas Zitikis

The estimation of loss distributions for dynamic portfolios requires the simulation of scenarios representing realistic joint dynamics of their components. We propose a novel data-driven approach for simulating realistic, high-dimensional…

风险管理 · 定量金融 2025-05-19 Rama Cont , Mihai Cucuringu , Renyuan Xu , Chao Zhang

We introduce a new stochastic order for the tail dependence between random variables. We then study different measures of tail dependence which are monotone in the proposed order, thereby extending various known tail dependence coefficients…

风险管理 · 定量金融 2022-08-23 Karl Friedrich Siburg , Christopher Strothmann , Gregor Weiß

Risk assessment for rare events is essential for understanding systemic stability in complex systems. As rare events are typically highly correlated, it is important to study heavy-tailed multivariate distributions of the relevant…

统计金融 · 定量金融 2025-12-02 Efstratios Manolakis , Anton J. Heckens , Benjamin Köhler , Thomas Guhr

Classical models for multivariate or spatial extremes are mainly based upon the asymptotically justified max-stable or generalized Pareto processes. These models are suitable when asymptotic dependence is present, i.e., the joint tail…

统计方法学 · 统计学 2021-05-13 Zhongwei Zhang , Raphaël Huser , Thomas Opitz , Jennifer L. Wadsworth

The problem of estimating the coefficient of bivariate tail dependence is considered here from the robustness point of view; it combines two apparently contradictory theories of robust statistics and extreme value statistics. The usual…

应用统计 · 统计学 2014-07-08 Abhik Ghosh

We propose a set of dependence measures that are non-linear, local, invariant to a wide range of transformations on the marginals, can show tail and risk asymmetries, are always well-defined, are easy to estimate and can be used on any…

统计金融 · 定量金融 2023-09-04 Aleksy Leeuwenkamp , Wentao Hu

Inference over tails is usually performed by fitting an appropriate limiting distribution over observations that exceed a fixed threshold. However, the choice of such threshold is critical and can affect the inferential results. Extreme…

统计金融 · 定量金融 2019-02-26 Chiara Lattanzi , Manuele Leonelli

Fully describing the entire data set is essential in multivariate risk assessment, since moderate levels of one variable can influence another, potentially leading it to be extreme. Additionally, modelling both non-extreme and extreme…

统计方法学 · 统计学 2025-03-11 Lídia M. André , Jonathan A. Tawn

We investigate the relative information content of six measures of dependence between two random variables $X$ and $Y$ for large or extreme events for several models of interest for financial time series. The six measures of dependence are…

统计力学 · 物理学 2008-12-10 Y. Malevergne , D. Sornette

The relationship between a response variable and its covariates can vary significantly, especially in scenarios where covariates take on extremely high or low values. This paper introduces a max-linear tail regression model specifically…

统计方法学 · 统计学 2025-02-24 Liujun Chen , Deyuan Li , Zhengjun Zhang

Copulas provide an attractive approach for constructing multivariate distributions with flexible marginal distributions and different forms of dependences. Of particular importance in many areas is the possibility of explicitly forecasting…

统计方法学 · 统计学 2018-05-22 Feng Li , Yanfei Kang

Modeling returns on large portfolios is a challenging problem as the number of parameters in the covariance matrix grows as the square of the size of the portfolio. Traditional correlation models, for example, the dynamic conditional…

统计方法学 · 统计学 2024-06-25 Lupe Shun Hin Chan , Amanda Man Ying Chu , Mike Ka Pui So

We model systemic risk using a common factor that accounts for market-wide shocks and a tail dependence factor that accounts for linkages among extreme stock returns. Specifically, our theoretical model allows for firm-specific impacts of…

风险管理 · 定量金融 2022-02-07 Wan-Chien Chiu , Juan Ignacio Peña , Chih-Wei Wang

We propose a transformation capable of altering the tail properties of a distribution, motivated by extreme value theory, which can be used as a layer in a normalizing flow to approximate multivariate heavy tailed distributions. We apply…

机器学习 · 统计学 2023-11-02 Tennessee Hickling , Dennis Prangle

We propose a new measure related with tail dependence in terms of correlation: quantile correlation coefficient of random variables X, Y. The quantile correlation is defined by the geometric mean of two quantile regression slopes of X on Y…

统计方法学 · 统计学 2018-03-19 Ji-Eun Choi , Dong Wan Shin

We consider multivariate extreme value statistics for independent but nonidentically distributed random vectors. In particular, the data may have varying tail copulas and also heteroscedastic marginal distributions. Assuming smoothly…

统计理论 · 数学 2026-04-14 John H. J. Einmahl , Chen Zhou

Quantifying tail dependence is an important issue in insurance and risk management. The prevalent tail dependence coefficient (TDC), however, is known to underestimate the degree of tail dependence and it does not capture non-exchangeable…

统计理论 · 数学 2023-02-14 Takaaki Koike , Shogo Kato , Marius Hofert