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Related papers: Tail Risk Analysis for Financial Time Series

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Extreme events over large spatial domains may exhibit highly heterogeneous tail dependence characteristics, yet most existing spatial extremes models yield only one dependence class over the entire spatial domain. To accurately characterize…

Methodology · Statistics 2025-11-14 Muyang Shi , Likun Zhang , Mark D. Risser , Benjamin A. Shaby

Predicting the occurrence of tail events is of great importance in financial risk management. By employing the method of peak-over-threshold (POT) to identify the financial extremes, we perform a recurrence interval analysis (RIA) on these…

Risk Management · Quantitative Finance 2020-04-09 Wei-Zhen Li , Jin-Rui Zhai , Zhi-Qiang Jiang , Gang-Jin Wang , Wei-Xing Zhou

Multivariate extreme value theory is concerned with modeling the joint tail behavior of several random variables. Existing work mostly focuses on asymptotic dependence, where the probability of observing a large value in one of the…

Statistics Theory · Mathematics 2022-07-11 Michaël Lalancette , Sebastian Engelke , Stanislav Volgushev

When applying multivariate extreme value statistics to analyze tail risk in compound events defined by a multivariate random vector, one often assumes that all dimensions share the same extreme value index. While such an assumption can be…

Methodology · Statistics 2026-02-16 Liujun Chen , Chen Zhou

We propose a novel extremal dependence measure called the partial tail-correlation coefficient (PTCC), in analogy to the partial correlation coefficient in classical multivariate analysis. The construction of our new coefficient is based on…

Methodology · Statistics 2022-11-23 Yan Gong , Peng Zhong , Thomas Opitz , Raphaël Huser

We investigate a way of comparing and classifying tails of random variables. Our approach extends the notion of classical indices, such as exponential and moment indices, which are widely used measuring heaviness of tail functions. A…

Probability · Mathematics 2013-10-07 Jaakko Lehtomaa

The risk of occurrence of atypical phenomena is a cross-cutting concern in several areas, such as engineering, climatology, finance, actuarial, among others. Extreme value theory is the natural tool to approach this theme. Many of these…

Statistics Theory · Mathematics 2020-07-09 Marta Ferreira , Ana Paula Martins , Helena Ferreira

In this paper we propose a problem-driven scenario generation approach to the single-period portfolio selection problem which use tail risk measures such as conditional value-at-risk. Tail risk measures are useful for quantifying potential…

Risk Management · Quantitative Finance 2019-11-14 Jamie Fairbrother , Amanda Turner , Stein Wallace

Computation of extreme quantiles and tail-based risk measures using standard Monte Carlo simulation can be inefficient. A method to speed up computations is provided by importance sampling. We show that importance sampling algorithms,…

Probability · Mathematics 2009-09-21 Henrik Hult , Jens Svensson

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…

Methodology · Statistics 2021-11-16 Shenyi Pan , Harry Joe , Guofu Li

In this paper we discuss the problem of the estimation of extreme event occurrence probability for data drawn from some multifractal process. We also study the heavy (power-law) tail behavior of probability density function associated with…

Statistical Mechanics · Physics 2009-11-11 Jean-Francois Muzy , Emmanuel Bacry , Alexey Kozhemyak

The risk of catastrophes is related to the possibility of occurring extreme values. Several statistical methodologies have been developed in order to evaluate the propensity of a process for the occurrence of high values and the permanence…

Statistics Theory · Mathematics 2019-05-08 Helena Ferreira , Marta Ferreira

We account for time-varying parameters in the conditional expectile-based value at risk (EVaR) model. The EVaR downside risk is more sensitive to the magnitude of portfolio losses compared to the quantile-based value at risk (QVaR). Rather…

Statistical Finance · Quantitative Finance 2020-09-29 Xiu Xu , Andrija Mihoci , Wolfgang Karl Härdle

Value at risk (VaR) and expected shortfall (ES) are common high quantile-based risk measures adopted in financial regulations and risk management. In this paper, we propose a tail risk measure based on the most probable maximum size of risk…

Risk Management · Quantitative Finance 2025-06-17 Kan Chen , Tuoyuan Cheng

Quantile regression is an important tool for estimation of conditional quantiles of a response Y given a vector of covariates X. It can be used to measure the effect of covariates not only in the center of a distribution, but also in the…

Statistics Theory · Mathematics 2017-10-03 Victor Chernozhukov

The paper presents an efficient method for simulating the tails of a target variable Z=h(X) which depends on a set of basic variables X=(X_1, ..., X_n). To this aim, variables X_i, i=1, ..., n are sequentially simulated in such a manner…

Artificial Intelligence · Computer Science 2013-02-18 Enrique F. Castillo , Cristina Solares , Patricia Gomez

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

This paper proposes a new measure of tail risk spillover. The empirical application provides evidence of significant volatility and tail risk spillovers from the financial sector to many real economy sectors in the U.S. economy in the…

Risk Management · Quantitative Finance 2022-02-07 Wan-Chien Chiua , Juan Ignacio Peña , Chih-Wei Wang

In econometrics, the Efficient Market Hypothesis posits that asset prices reflect all available information in the market. Several empirical investigations show that market efficiency drops when it undergoes extreme events. Many models for…

Statistical Finance · Quantitative Finance 2025-07-02 Junshu Jiang , Jordan Richards , Raphaël Huser , David Bolin

Causal inference for extreme events has many potential applications in fields such as climate science, medicine and economics. We study the extremal quantile treatment effect of a binary treatment on a continuous, heavy-tailed outcome.…

Methodology · Statistics 2023-07-06 David Deuber , Jinzhou Li , Sebastian Engelke , Marloes H. Maathuis