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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

We introduce a statistical model for operational losses based on heavy-tailed distributions and bipartite graphs, which captures the event type and business line structure of operational risk data. The model explicitly takes into account…

风险管理 · 定量金融 2019-02-11 Oliver Kley , Claudia Klüppelberg , Sandra Paterlini

Gini-type correlation coefficients have become increasingly important in a variety of research areas, including economics, insurance and finance, where modelling with heavy-tailed distributions is of pivotal importance. In such situations,…

统计理论 · 数学 2016-07-12 Edward Furman , Ricardas Zitikis

Motivated by the prominence of Conditional Value-at-Risk (CVaR) as a measure for tail risk in settings affected by uncertainty, we develop a new formula for approximating CVaR based optimization objectives and their gradients from limited…

统计方法学 · 统计学 2020-08-25 Anand Deo , Karthyek Murthy

Excellent tail performance is crucial for modern machine learning tasks, such as algorithmic fairness, class imbalance, and risk-sensitive decision making, as it ensures the effective handling of challenging samples within a dataset. Tail…

信息检索 · 计算机科学 2024-02-29 Riku Togashi , Tatsushi Oka , Naoto Ohsaka , Tetsuro Morimura

Explaining empirically observed wealth and income distributions, featuring power-law tails alongside gamma or log-normal bulk shapes, challenges models that focus on either pairwise competition or individual investment mechanisms. This…

物理与社会 · 物理学 2025-05-19 Yuri Ono , Atsushi Ishida

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

Gaussian copulas are widely used in the industry to correlate two random variables when there is no prior knowledge about the co-dependence between them. The perturbed Gaussian copula approach allows introducing the skew information of both…

证券定价 · 定量金融 2012-02-10 Alberto Elices , Jean-Pierre Fouque

We consider a model for multivariate data with heavy-tailed marginal distributions and a Gaussian dependence structure. The different marginals in the model are allowed to have non-identical tail behavior in contrast to most popular…

统计方法学 · 统计学 2023-05-23 Bikramjit Das

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 the Value at Risk assuming a heavy tail distribution of the stock prices…

投资组合管理 · 定量金融 2020-12-02 Subhojit Biswas , Diganta Mukherjee

Normalizing flows, a popular class of deep generative models, often fail to represent extreme phenomena observed in real-world processes. In particular, existing normalizing flow architectures struggle to model multivariate extremes,…

机器学习 · 计算机科学 2022-05-04 Andrew McDonald , Pang-Ning Tan , Lifeng Luo

Understanding the dependence relationship of credit spreads of corporate bonds is important for risk management. Vine copula models with tail dependence are used to analyze a credit spread dataset of Chinese corporate bonds, understand the…

统计方法学 · 统计学 2021-11-16 Shenyi Pan , Harry Joe , Guofu Li

We propose a parsimonious quantile regression framework to learn the dynamic tail behaviors of financial asset returns. Our model captures well both the time-varying characteristic and the asymmetrical heavy-tail property of financial time…

风险管理 · 定量金融 2020-10-19 Xing Yan , Weizhong Zhang , Lin Ma , Wei Liu , Qi Wu

The risk of a credit portfolio depends crucially on correlations between the probability of default (PD) in different economic sectors. Often, PD correlations have to be estimated from relatively short time series of default rates, and the…

统计力学 · 物理学 2008-12-02 Bernd Rosenow , Rafael Weissbach , Frank Altrock

As the increasing application of AI in finance, this paper will leverage AI algorithms to examine tail risk and develop a model to alter tail risk to promote the stability of US financial markets, and enhance the resilience of the US…

风险管理 · 定量金融 2025-08-08 Zong Ke , Yuchen Yin

This paper introduces a new extension of the Conditional Autoregressive Value at Risk (CAViaR) model aimed at improving tail risk forecasting across assets. The proposed component-based model, CAViaR with Spillover Effects (CAViaR-SE),…

风险管理 · 定量金融 2026-03-27 Demetrio Lacava

Classical information-theoretic generalization bounds typically control the generalization gap through KL-based mutual information and therefore rely on boundedness or sub-Gaussian tails via the moment generating function (MGF). In many…

机器学习 · 统计学 2026-04-14 Huiming Zhang , Binghan Li , Wan Tian , Qiang Sun

Causal questions are omnipresent in many scientific problems. While much progress has been made in the analysis of causal relationships between random variables, these methods are not well suited if the causal mechanisms only manifest…

统计方法学 · 统计学 2020-09-23 Nicola Gnecco , Nicolai Meinshausen , Jonas Peters , Sebastian Engelke

Meta learning is a promising paradigm in the era of large models and task distributional robustness has become an indispensable consideration in real-world scenarios. Recent advances have examined the effectiveness of tail task risk…

机器学习 · 计算机科学 2024-10-31 Yiqin Lv , Qi Wang , Dong Liang , Zheng Xie