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We introduce a rigorous mathematical framework for Granger causality in extremes, designed to identify causal links from extreme events in time series. Granger causality plays a pivotal role in uncovering directional relationships among…

机器学习 · 统计学 2024-10-21 Juraj Bodik , Olivier C. Pasche

In the post-crisis era, financial regulators and policymakers are increasingly interested in data-driven tools to measure systemic risk and to identify systemically important firms. Granger Causality (GC) based techniques to build networks…

统计金融 · 定量金融 2022-07-27 Kara Karpman , Samriddha Lahiry , Diganta Mukherjee , Sumanta Basu

Consider two stationary time series with heavy-tailed marginal distributions. We aim to detect whether they have a causal relation, that is, if a change in one causes a change in the other. Usual methods for causal discovery are not well…

统计理论 · 数学 2023-11-20 Juraj Bodik , Zbyněk Pawlas , Milan Paluš

Granger causality is a fundamental technique for causal inference in time series data, commonly used in the social and biological sciences. Typical operationalizations of Granger causality make a strong assumption that every time point of…

机器学习 · 计算机科学 2020-11-23 Chainarong Amornbunchornvej , Elena Zheleva , Tanya Y. Berger-Wolf

Identifying causal relations among simultaneously acquired signals is an important problem in multivariate time series analysis. For linear stochastic systems Granger proposed a simple procedure called the Granger causality to detect such…

混沌动力学 · 物理学 2009-11-10 Yonghong Chen , Govindan Rangarajan , Jianfeng Feng , Mingzhou Ding

Granger causality is well established within the neurosciences for inference of directed functional connectivity from neurophysiological data. These data usually consist of time series which subsample a continuous-time biophysiological…

应用统计 · 统计学 2016-09-08 Lionel Barnett , Anil K. Seth

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

Extreme events are often multivariate in nature. A compound extreme occurs when a combination of variables jointly produces a significant impact, even if individual components are not necessarily marginally extreme. Compound extremes have…

统计方法学 · 统计学 2025-09-24 Cathy Yin , Adam M. Sykulski , Almut E. D. Veraart

Granger causality and variants of this concept allow the study of complex dynamical systems as networks constructed from multivariate time series. In this work, a large number of Granger causality measures used to form causality networks…

统计计算 · 统计学 2020-01-08 Elsa Siggiridou , Christos Koutlis , Alkiviadis Tsimpiris , Dimitris Kugiumtzis

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

Most of the metrics used for detecting a causal relationship among multiple time series ignore the effects of practical measurement impairments, such as finite sample effects, undersampling and measurement noise. It has been shown that…

统计方法学 · 统计学 2023-04-03 Rahul Devendra , Ribhu Chopra , Kumar Appaiah

Granger causality is a fundamental technique for causal inference in time series data, commonly used in the social and biological sciences. Typical operationalizations of Granger causality make a strong assumption that every time point of…

机器学习 · 计算机科学 2021-05-11 Chainarong Amornbunchornvej , Elena Zheleva , Tanya Berger-Wolf

The structure of return spillovers is examined by constructing Granger causality networks using daily closing prices of 20 developed markets from 2nd January 2006 to 31st December 2013. The data is properly aligned to take into account…

综合金融 · 定量金融 2015-06-22 Tomáš Výrost , Štefan Lyócsa , Eduard Baumöhl

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

Granger causality has been employed to investigate causality relations between components of stationary multiple time series. We generalize this concept by developing statistical inference for local Granger causality for multivariate…

统计方法学 · 统计学 2025-08-12 Yan Liu , Masanobu Taniguchi , Hernando Ombao

Introduced more than a half century ago, Granger causality has become a popular tool for analyzing time series data in many application domains, from economics and finance to genomics and neuroscience. Despite this popularity, the validity…

统计方法学 · 统计学 2021-05-10 Ali Shojaie , Emily B. Fox

Tail dependence refers to clustering of extreme events. In the context of financial risk management, the clustering of high-severity risks has a devastating effect on the well-being of firms and is thus of pivotal importance in risk…

应用统计 · 统计学 2016-07-19 Edward Furman , Alexey Kuznetsov , Jianxi Su , Ricardas Zitikis

This book chapter illustrates how to apply extreme value statistics to financial time series data. Such data often exhibits strong serial dependence, which complicates assessment of tail risks. We discuss the two main approches to tail risk…

风险管理 · 定量金融 2024-09-30 Anna Kiriliouk , Chen Zhou

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…

风险管理 · 定量金融 2019-11-14 Jamie Fairbrother , Amanda Turner , Stein Wallace

Expected risk minimization (ERM) is at the core of many machine learning systems. This means that the risk inherent in a loss distribution is summarized using a single number - its average. In this paper, we propose a general approach to…

机器学习 · 计算机科学 2023-01-24 Christian Fröhlich , Robert C. Williamson
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