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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

Financial stock returns correlations have been studied in the prism of random matrix theory, to distinguish the signal from the "noise". Eigenvalues of the matrix that are above the rescaled Marchenko Pastur distribution can be interpreted…

统计金融 · 定量金融 2025-08-19 Ixandra Achitouv

We develop a framework especially suited to the autocorrelation properties observed in financial times series, by borrowing from the physical picture of turbulence. The success of our approach as applied to high frequency foreign exchange…

统计力学 · 物理学 2015-06-25 B. Holdom

One of the standardized features of financial data is that log-returns are uncorrelated, but absolute log-returns or their squares namely the fluctuating volatility are correlated and is characterized by heavy tailed in the sense that some…

统计金融 · 定量金融 2021-05-11 Geoffrey Ducournau

We propose a methodology for clustering financial time series of stocks' returns, and a graphical set-up to quantify and visualise the evolution of these clusters through time. The proposed graphical representation allows for the…

计算工程、金融与科学 · 计算机科学 2025-07-08 Argimiro Arratia , Alejandra Cabaña

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…

统计力学 · 物理学 2009-11-11 Jean-Francois Muzy , Emmanuel Bacry , Alexey Kozhemyak

Large deviations for fat tailed distributions, i.e. those that decay slower than exponential, are not only relatively likely, but they also occur in a rather peculiar way where a finite fraction of the whole sample deviation is concentrated…

统计力学 · 物理学 2015-06-03 Mario Filiasi , Giacomo Livan , Matteo Marsili , Maria Peressi , Erik Vesselli , Elia Zarinelli

In retrospect, the experimental findings on competitive market behavior called for a revival of the old, classical, view of competition as a collective higgling and bargaining process (as opposed to price-taking behaviors) founded on…

综合金融 · 定量金融 2023-07-04 Sabiou Inoua , Vernon Smith

This dissertation investigates the ability of the Ising model to replicate statistical characteristics, or stylized facts, commonly observed in financial assets. The study specifically examines in the S&P500 index the following features:…

统计金融 · 定量金融 2025-04-29 Bruno Giorgio

We analyze the fluctuation of the loss from default around its large portfolio limit in a class of reduced-form models of correlated firm-by-firm default timing. We prove a weak convergence result for the fluctuation process and use it for…

概率论 · 数学 2015-02-20 Konstantinos Spiliopoulos , Justin A. Sirignano , Kay Giesecke

Stock markets can be characterized by fat tails in the volatility distribution, clustering of volatilities and slow decay of their time correlations. For an explanation models with several mechanisms and consequently many parameters as the…

统计力学 · 物理学 2009-11-07 Friedrich Wagner

Motivated by the problem of computing investment portfolio weightings we investigate various methods of clustering as alternatives to traditional mean-variance approaches. Such methods can have significant benefits from a practical point of…

机器学习 · 计算机科学 2015-02-19 Aldo Pacchiano , Oliver Williams

An empirical analysis of interest rates in money and capital markets is performed. We investigate a set of 34 different weekly interest rate time series during a time period of 16 years between 1982 and 1997. Our study is focused on the…

统计力学 · 物理学 2009-11-10 T. Di Matteo , T. Aste , R. N. Mantegna

The analysis of financial markets using models inspired by statistical physics offers a fruitful approach to understand collective and extreme phenomena [3, 14, 15] In this paper, we present a study based on a 2D Ising network model where…

统计金融 · 定量金融 2025-12-23 Hernán Ezequiel Benítez , Claudio Oscar Dorso

Networks of companies can be constructed by using return correlations. A crucial issue in this approach is to select the relevant correlations from the correlation matrix. In order to study this problem, we start from an empty graph with no…

统计力学 · 物理学 2009-11-10 J. -P. Onnela , K. Kaski , J. Kertesz

We build a simple model of leveraged asset purchases with margin calls. Investment funds use what is perhaps the most basic financial strategy, called "value investing", i.e. systematically attempting to buy underpriced assets. When funds…

统计金融 · 定量金融 2010-01-11 Stefan Thurner , J. Doyne Farmer , John Geanakoplos

We investigate the large-fluctuation dynamics in financial markets, based on the minute-to-minute and daily data of the Chinese Indices and German DAX. The dynamic relaxation both before and after the large fluctuations is characterized by…

综合金融 · 定量金融 2013-08-21 X. F. Jiang , T. T. Chen , B. Zheng

In setting up a stochastic description of the time evolution of a financial index, the challenge consists in devising a model compatible with all stylized facts emerging from the analysis of financial time series and providing a reliable…

统计金融 · 定量金融 2009-11-13 Fulvio Baldovin , Attilio L. Stella

This study empirically re-examines fat tails in stock return distributions by applying statistical methods to an extensive dataset taken from the Korean stock market. The tails of the return distributions are shown to be much fatter in…

综合金融 · 定量金融 2019-06-26 Cheoljun Eom , Taisei Kaizoji , Enrico Scalas

Researchers have used from 30 days to several years of daily returns as source data for clustering financial time series based on their correlations. This paper sets up a statistical framework to study the validity of such practices. We…

机器学习 · 统计学 2016-04-18 Gautier Marti , Sébastien Andler , Frank Nielsen , Philippe Donnat