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Sharp changes in time series representing market dynamics are studied by means of the self--similar analysis suggested earlier by the authors. These sharp changes are market booms and crashes. Such crises phenomena in markets are analogous…

Statistical Mechanics · Physics 2009-10-31 S. Gluzman , V. I. Yukalov

Misperceptions about extreme dependencies between different financial assets have been an im- portant element of the recent financial crisis. This paper studies inhomogeneity in dependence structures using Markov switching regular vine…

Methodology · Statistics 2012-02-10 Jakob Stoeber , Claudia Czado

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…

Statistical Finance · Quantitative Finance 2025-08-19 Ixandra Achitouv

In this study, we introduce the first-of-its-kind class of tests for detecting change points in the distribution of a sequence of independent matrix-valued random variables. The tests are constructed using the weighted square integral…

Methodology · Statistics 2024-01-02 Žikica Lukić , Bojana Milošević

To investigate the universality of the structure of interactions in different markets, we analyze the cross-correlation matrix C of stock price fluctuations in the National Stock Exchange (NSE) of India. We find that this emerging market…

Statistical Finance · Quantitative Finance 2008-12-02 Raj Kumar Pan , Sitabhra Sinha

Financial markets are a typical example of complex systems where interactions between constituents lead to many remarkable features. Here, we show that a pairwise maximum entropy model (or auto-logistic model) is able to describe switches…

Statistical Finance · Quantitative Finance 2014-01-28 Thomas Bury

We examine how the most prevalent stochastic properties of key financial time series have been affected during the recent financial crises. In particular we focus on changes associated with the remarkable economic events of the last two…

General Finance · Quantitative Finance 2014-03-28 Menelaos Karanasos , Alexandros Paraskevopoulos , Faek Menla Ali , Michail Karoglou , Stavroula Yfanti

Decisions taken in our everyday lives are based on a wide variety of information so it is generally very difficult to assess what are the strategies that guide us. Stock market therefore provides a rich environment to study how people take…

General Finance · Quantitative Finance 2016-09-28 Mario Gutiérrez-Roig , Carlota Segura , Jordi Duch , Josep Perelló

Identifying dependency between two random variables is a fundamental problem. The clear interpretability and ability of a procedure to provide information on the form of possible dependence is particularly important when exploring…

Methodology · Statistics 2026-04-27 Bogdan Ćmiel , Teresa Ledwina

The market weight of a stock is its capitalization (cap) divided by the total market cap. Rank these weights from top to bottom. The capital distribution curve is a plot of weights versus ranks. For the US stock market, it is linear on a…

Probability · Mathematics 2019-07-23 Clayton Barnes , Andrey Sarantsev

We consider two bivariate models with two-way interactions in context of risk and queueing theory. The two entities interact with each other by providing assistance but otherwise evolve independently. We focus on certain random quantities…

Probability · Mathematics 2019-11-19 Jevgenijs Ivanovs

We exploit a recent computational framework to model and detect financial crises in stock markets, as well as shock events in cryptocurrency markets, which are characterized by a sudden or severe drop in prices. Our method manages to detect…

Computational Geometry · Computer Science 2021-03-25 Apostolos Chalkis , Emmanouil Christoforou , Theodore Dalamagkas , Ioannis Z. Emiris

This paper is concerned with testing and dating structural breaks in the dependence structure of multivariate time series. We consider a cumulative sum (CUSUM) type test for constant copula-based dependence measures, such as Spearman's rank…

Econometrics · Economics 2020-11-12 Florian Stark , Sven Otto

We take inspiration from statistical physics to develop a novel conceptual framework for the analysis of financial markets. We model the order book dynamics as a motion of particles and define the momentum measure of the system as a way to…

Trading and Market Microstructure · Quantitative Finance 2023-08-21 Haochen Li , Maria Polukarova , Carmine Ventre

Information theory provides ideas for conceptualising information and measuring relationships between objects. It has found wide application in the sciences, but economics and finance have made surprisingly little use of it. We show that…

Statistical Finance · Quantitative Finance 2013-05-02 Galen Sher , Pedro Vitoria

In financial markets, greater volatility is usually considered synonym of greater risk and instability. However, large market downturns and upturns are often preceded by long periods where price returns exhibit only small fluctuations. To…

Statistical Finance · Quantitative Finance 2018-06-13 Davide Valenti , Giorgio Fazio , Bernardo Spagnolo

Over the last two decades, financial systems have been studied and analysed from the perspective of complex networks, where the nodes and edges in the network represent the various financial components and the strengths of correlations…

Statistical Finance · Quantitative Finance 2021-02-02 Areejit Samal , Sunil Kumar , Yasharth Yadav , Anirban Chakraborti

We study the emergence of instabilities in a stylized model of a financial market, when different market actors calculate prices according to different (local) market measures. We derive typical properties for ensembles of large random…

Trading and Market Microstructure · Quantitative Finance 2012-09-04 Marco Bardoscia , Giacomo Livan , Matteo Marsili

Modelling financial time series as a time change of a simpler process has been proposed in various forms over the years. One of such recent approaches is called volatility homogenisation decomposition, and has been designed specifically to…

Statistical Finance · Quantitative Finance 2014-07-01 Paweł Fiedor , Odd Magnus Trondrud

In the field of structural engineering analysis, a common requirement is to calculate the modal frequencies of a structure that has undergone an update, either naturally (such as from material degradation), or due to man-made influences (by…

Optimization and Control · Mathematics 2020-08-25 P. Cheema , M. M. Alamdari , G. A. Vio