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This paper offers a precise analytical characterization of the distribution of returns for a portfolio constituted of assets whose returns are described by an arbitrary joint multivariate distribution. In this goal, we introduce a…

统计力学 · 物理学 2009-10-31 D. Sornette , P. Simonetti , J. V. Andersen

In this paper, we propose a market model with returns assumed to follow a multivariate normal tempered stable distribution defined by a mixture of the multivariate normal distribution and the tempered stable subordinator. This distribution…

投资组合管理 · 定量金融 2020-09-22 Young Shin Kim

The third moment variation of a financial asset return process is defined by the quadratic covariation between the return and square return processes. The skew and fat tail risk of an underlying asset can be hedged using a third moment…

证券定价 · 定量金融 2019-08-15 Kyungsub Lee , Byoung Ki Seo

Our goal in this paper is to propose an alternative risk measure which takes into account the fluctuations of losses and possible correlations between random variables. This new notion of risk measures, that we call Copula Conditional Tail…

统计理论 · 数学 2015-03-20 Brahim Brahimi

Transition-related financial markets are increasingly exposed to abrupt repricing episodes, elevated volatility, and heterogeneous macro-financial shocks. Under such conditions, conventional Gaussian-linear forecasting frameworks may…

计算金融 · 定量金融 2026-05-27 Kpante Emmanuel Gnandi , Fredy Pokou , Jules Sadefo Kamdem

Accurately quantifying tail risks-rare but high-impact events such as financial crashes or extreme weather-is a central challenge in risk management, with serially dependent data. We develop a Bayesian framework based on the Generalized…

统计方法学 · 统计学 2025-10-17 David L. Carl , Simone A. Padoan , Stefano Rizzelli

Recent financial disasters emphasised the need to investigate the consequence associated with the tail co-movements among institutions; episodes of contagion are frequently observed and increase the probability of large losses affecting…

统计方法学 · 统计学 2013-11-05 Mauro Bernardi , Ghislaine Gayraud , Lea Petrella

We study stochastic dominance between portfolios of independent and identically distributed (iid) extremely heavy-tailed (i.e., infinite-mean) Pareto random variables. With the notion of majorization order, we show that a more diversified…

投资组合管理 · 定量金融 2025-02-11 Yuyu Chen , Taizhong Hu , Ruodu Wang , Zhenfeng Zou

In the present work we analyse the dynamics of indirect connections between insurance companies that result from market price channels. In our analysis we assume that the stock quotations of insurance companies reflect market sentiments…

统计金融 · 定量金融 2020-03-11 Anna Denkowska , Stanisław Wanat

With the fast development of quantitative portfolio optimization in financial engineering, lots of AI-based algorithmic trading strategies have demonstrated promising results, among which reinforcement learning begins to manifest…

数理金融 · 定量金融 2023-03-10 Huifang Huang , Ting Gao , Pengbo Li , Jin Guo , Peng Zhang , Nan Du

The rapidly evolving cryptocurrency market presents unique challenges for investment due to its inherent volatility and evolving regulatory environment. Collective price movements can be exploited to construct diversified portfolios with…

科普物理 · 物理学 2026-05-01 Ruixue Jing , Ryota Kobayashi , Luis Enrique Correa Rocha

Heavy-tailed distributions are widely used in robust mixture modelling due to possessing thick tails. As a computationally tractable subclass of the stable distributions, sub-Gaussian $\alpha$-stable distribution received much interest in…

机器学习 · 统计学 2017-01-25 Mahdi Teimouri , Saeid Rezakhah , Adel Mohammdpour

In risk theory, financial asset returns often follow heavy-tailed distributions. Investors and risk managers used to compare risk measures as the value at risk or tail value at risk in order over the whole confidence levels to avoid the…

统计理论 · 数学 2024-12-12 Alfonso J. Bello , Julio Mulero , Miguel A. Sordo , Alfonso Suárez-Llorens

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…

统计方法学 · 统计学 2022-11-23 Yan Gong , Peng Zhong , Thomas Opitz , Raphaël Huser

We look at optimal liability-driven portfolios in a family of fat-tailed and extremal risk measures, especially in the context of pension fund and insurance fixed cashflow liability profiles, but also those arising in derivatives books such…

投资组合管理 · 定量金融 2023-05-16 Jan Rosenzweig

Copulas have become an important tool in the modern best practice Enterprise Risk Management, often supplanting other approaches to modelling stochastic dependence. However, choosing the `right' copula is not an easy task, and the…

风险管理 · 定量金融 2016-10-10 Jianxi Su , Edward Furman

We develop an extreme value framework for CoVaR centered on $v(q \mid p ; C)$, the copula-adjusted probability level, or equivalently, the CoVaR on the uniform (0,1) scale. We characterize the possible tail regimes of $v(q \mid p ; C)$…

统计方法学 · 统计学 2026-03-31 Xiaoting Li , Harry Joe

We present elliptical processes, a family of non-parametric probabilistic models that subsume Gaussian processes and Student's t processes. This generalization includes a range of new heavy-tailed behaviors while retaining computational…

机器学习 · 计算机科学 2023-11-23 Maria Bånkestad , Jens Sjölund , Jalil Taghia , Thomas B. Schöon

It is well known that the distribution of returns from various financial instruments are leptokurtic, meaning that the distributions have "fatter tails" than a Normal distribution, and have skew toward zero. This paper presents a graceful…

交易与市场微观结构 · 定量金融 2013-04-03 Ben Klemens

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