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This paper applies an AR(1)-GARCH (1, 1) process to detail the conditional distributions of the return distributions for the S&P500, FT100, DAX, Hang Seng, and Nikkei225 futures contracts. It then uses the conditional distribution for these…

风险管理 · 定量金融 2011-03-29 John Cotter , Kevin Dowd

This paper presents non-parametric estimates of spectral risk measures applied to long and short positions in 5 prominent equity futures contracts. It also compares these to estimates of two popular alternative measures, the Value-at-Risk…

风险管理 · 定量金融 2011-03-30 john cotter , kevin dowd

Risk is an inherent feature of agricultural production and marketing and accurate measurement of it helps inform more efficient use of resources. This paper examines three tail quantile-based risk measures applied to the estimation of…

风险管理 · 定量金融 2011-03-31 John Cotter , Kevin Dowd , Wyn Morgan

This thesis evaluates most of the extreme mixture models and methods that have appended in the literature and implements them in the context of finance and insurance. The paper also reviews and studies extreme value theory, time series,…

综合经济学 · 经济学 2024-07-09 Yujuan Qiu

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…

风险管理 · 定量金融 2025-06-17 Kan Chen , Tuoyuan Cheng

This paper compares the in-sample and out-of-sample performance of several models for computing the tail risk of one-month and one-year electricity futures contracts traded in the NordPool, French, German, and Spanish markets in 2008-2017.…

风险管理 · 定量金融 2022-02-04 Juan Ignacio Peña , Rosa Rodriguez , Silvia Mayoral

In this paper, we investigate risk measures such as value at risk (VaR) and the conditional tail expectation (CTE) of the extreme (maximum and minimum) and the aggregate (total) of two dependent risks. In finance, insurance and the other…

风险管理 · 定量金融 2021-02-01 Suman Thapa , Yiqiang Q. Zhao

The use of expectiles in risk management has recently gathered remarkable momentum due to their excellent axiomatic and probabilistic properties. In particular, the class of elicitable law-invariant coherent risk measures only consists of…

统计理论 · 数学 2023-03-21 Abdelaati Daouia , Simone A. Padoan , Gilles Stupfler

Risk measures such as Conditional Value-at-Risk (CVaR) focus on extreme losses, where scarce tail data makes model error unavoidable. To hedge misspecification, one evaluates worst-case tail risk over an ambiguity set. Using Extreme Value…

风险管理 · 定量金融 2026-01-22 Anand Deo

We introduce a method to estimate simultaneously the tail and the threshold parameters of an extreme value regression model. This standard model finds its use in finance to assess the effect of market variables on extreme loss distributions…

统计方法学 · 统计学 2023-04-17 Julien Hambuckers , Marie Kratz , Antoine Usseglio-Carleve

The Solvency II Directive and Solvency Assessment and Management (the South African equivalent) give a Solvency Capital Requirement which is based on a 99.5% Value-at-Risk (VaR) calculation. This calculation involves aggregating individual…

应用统计 · 统计学 2018-04-06 Sean van der Merwe , Darren Steven , Martinette Pretorius

Expected Shortfall (ES) has been widely accepted as a risk measure that is conceptually superior to Value-at-Risk (VaR). At the same time, however, it has been criticised for issues relating to backtesting. In particular, ES has been found…

风险管理 · 定量金融 2015-11-20 Susanne Emmer , Marie Kratz , Dirk Tasche

In a wide variety of sequential decision making problems, it can be important to estimate the impact of rare events in order to minimize risk exposure. A popular risk measure is the conditional value-at-risk (CVaR), which is commonly…

机器学习 · 统计学 2020-12-11 Dylan Troop , Frédéric Godin , Jia Yuan Yu

Extreme Value Theory (EVT) is one of the most commonly used approaches in finance for measuring the downside risk of investment portfolios, especially during financial crises. In this paper, we propose a novel approach based on EVT called…

综合经济学 · 经济学 2020-11-16 Hamidreza Arian , Hossein Poorvasei , Azin Sharifi , Shiva Zamani

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…

统计金融 · 定量金融 2020-09-29 Xiu Xu , Andrija Mihoci , Wolfgang Karl Härdle

Value-at-risk (VaR) and expected shortfall (ES) are two commonly utilized metrics for quantifying financial risk. In this study, we review the widely employed Generalized Autoregressive Conditional Heteroskedasticity (GARCH) models. These…

统计计算 · 统计学 2024-05-14 Kanon Kamronnaher , Andrew Bellucco , Whitney K. Huang , Colin M. Gallagher

The Generalized Extreme Value (GEV) distribution plays a critical role in risk assessment across various domains, such as hydrology, climate science, and finance. In this study, we investigate its application in analyzing intraday trading…

应用统计 · 统计学 2024-12-10 Sen Lin , Ao Kong , Robert Azencott

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…

统计金融 · 定量金融 2026-03-06 Benjamin Köhler , Anton J. Heckens , Thomas Guhr

We aim to analyze the behaviour of a finite-time stochastic system, whose model is not available, in the context of more rare and harmful outcomes. Standard estimators are not effective in making predictions about such outcomes due to their…

统计方法学 · 统计学 2022-07-29 Evan Arsenault , Yuheng Wang , Margaret P. Chapman

In this paper, we propose a reduced-bias estimator of the EVI for Pareto-type tails (heavy-tailed) distributions. This is derived using the weighted least squares method. It is shown that the estimator is unbiased, consistent and…

统计方法学 · 统计学 2022-04-12 E. Ocran , R. Minkah , K. Doku-Amponsah
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