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Related papers: Tail Risk and Systemic Risk Estimation of Cryptocu…

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Crypto enthusiasts claim that buying and holding crypto assets yields high returns, often citing Bitcoin's past performance to promote other tokens and fuel fear of missing out. However, understanding the real risk-return trade-off and what…

Statistical Finance · Quantitative Finance 2025-12-03 Weikang Zhang , Alison Watts

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

We discuss the coherence properties of Expected Shortfall (ES) as a financial risk measure. This statistic arises in a natural way from the estimation of the "average of the 100p % worst losses" in a sample of returns to a portfolio. Here p…

Statistical Mechanics · Physics 2013-12-31 Carlo Acerbi , Dirk Tasche

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

There are many ways of measuring and modeling tail-dependence in random vectors: from the general framework of multivariate regular variation and the flexible class of max-stable vectors down to simple and concise summary measures like the…

Probability · Mathematics 2022-12-05 Anja Janßen , Sebastian Neblung , Stilian Stoev

Tail risk protection is in the focus of the financial industry and requires solid mathematical and statistical tools, especially when a trading strategy is derived. Recent hype driven by machine learning (ML) mechanisms has raised the…

Risk Management · Quantitative Finance 2021-08-25 Bruno Spilak , Wolfgang Karl Härdle

Extreme values and the tail behavior of probability distributions are essential for quantifying and mitigating risk in complex systems of all kinds. In multivariate settings, accounting for correlations is crucial. Although extreme value…

Statistical Finance · Quantitative Finance 2026-03-06 Benjamin Köhler , Anton J. Heckens , Thomas Guhr

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…

Statistical Finance · Quantitative Finance 2019-02-26 Chiara Lattanzi , Manuele Leonelli

The extreme values theory presents specific tools for modeling and predicting extreme phenomena. In particular, risk assessment is often analyzed through measures for tail dependence and high values clustering. Despite technological…

Statistics Theory · Mathematics 2020-03-23 Helena Ferreira , Marta Ferreira

We study tail risk dynamics in high-frequency financial markets and their connection with trading activity and market uncertainty. We introduce a dynamic extreme value regression model accommodating both stationary and local unit-root…

Econometrics · Economics 2023-01-05 Julien Hambuckers , Li Sun , Luca Trapin

We propose a new approach, termed Realized Risk Measures (RRM), to estimate Value-at-Risk (VaR) and Expected Shortfall (ES) using high-frequency financial data. It extends the Realized Quantile (RQ) approach proposed by Dimitriadis and…

Risk Management · Quantitative Finance 2025-10-21 Federico Gatta , Fabrizio Lillo , Piero Mazzarisi

In risk management, tail risks are of crucial importance. The quality of a tail model, which is determined by data from an unknown distribution, depends critically on the subset of data used to model the tail. Based on a suitably weighted…

Methodology · Statistics 2021-01-19 Ingo Hoffmann , Christoph J. Börner

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…

Risk Management · Quantitative Finance 2025-05-19 Rama Cont , Mihai Cucuringu , Renyuan Xu , Chao Zhang

Tail risk measures are fully determined by the distribution of the underlying loss beyond its quantile at a certain level, with Value-at-Risk, Expected Shortfall and Range Value-at-Risk being prime examples. They are induced by law-based…

Statistical Finance · Quantitative Finance 2025-11-07 Tobias Fissler , Fangda Liu , Ruodu Wang , Linxiao Wei

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

The aim of this paper is to study the asymptotic behavior of a particular multivariate risk measure, the Covariate-Conditional-Tail-Expectation (CCTE), based on a multivariate statistical depth function. Depth functions have become…

Statistics Theory · Mathematics 2021-09-08 Armaut Elisabeth , Diel Roland , Laloë Thomas

This paper investigates systemic risk transmission across stablecoin markets using Quantile Vector Autoregression (QVAR). Analyzing eight major stablecoins with day data coverage from 2021 to 2025, supplemented by minute-level event studies…

General Economics · Economics 2026-02-24 Wenbin Wu , Can Liu

This paper develops a Bayesian framework for the realized exponential generalized autoregressive conditional heteroskedasticity (realized EGARCH) model, which can incorporate multiple realized volatility measures for the modelling of a…

Risk Management · Quantitative Finance 2020-08-25 Vica Tendenan , Richard Gerlach , Chao Wang

Given a finite collection of stochastic alternatives, we study the problem of sequentially allocating a fixed sampling budget to identify the optimal alternative with a high probability, where the optimal alternative is defined as the one…

Methodology · Statistics 2025-03-11 Dohyun Ahn , Taeho Kim

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…

Applications · Statistics 2014-07-08 Abhik Ghosh