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Estimating time-varying correlation matrices is challenging because existing methods may adapt slowly to structural changes, impose insufficient regularization, or produce diffuse posterior uncertainty. In moderate dimensions, an additional…

Methodology · Statistics 2026-05-11 Daniel Andrew Coulson , David S. Matteson , Martin T. Wells

Traders and investors involved in an option contract having the underlying stock in range bound are likely to lose their initial investment. Timing in buying an option contract is of capital importance. In a recent article [1] the…

General Finance · Quantitative Finance 2013-07-24 Ovidiu Racorean

We review the main changes in the interbank market after the financial crisis started in August 2007. In particular, we focus on the fixed income market and we analyse the most relevant empirical evidences regarding the divergence of the…

Pricing of Securities · Quantitative Finance 2013-01-31 Marco Bianchetti , Mattia Carlicchi

This is a significantly expanded version of the survey paper "Mixing and decay of correlations in non-uniformly expanding maps: a survey of recent results" math/0301319. We discuss recent results on decay of correlations for non-uniformly…

Dynamical Systems · Mathematics 2007-05-23 Stefano Luzzatto

An analysis of the Japanese credit market in 2004 between banks and quoted firms is done in this paper using the tools of the networks theory. It can be pointed out that: (i) a backbone of the credit channel emerges, where some links play a…

Statistical Finance · Quantitative Finance 2010-11-09 G. De Masi , Y. Fujiwara , M. Gallegati , B. Greenwald , J. E. Stiglitz

In this work, we develop the asymptotic theory of the Detrended Fluctuation Analysis (DFA) and Detrended Cross-Correlation Analysis (DCCA) for trend-stationary stochastic processes without any assumption on the specific form of the…

Statistics Theory · Mathematics 2022-11-16 Taiane Schaedler Prass , Guilherme Pumi

We obtain large and moderate deviation estimates, as well as concentration inequalities, for a class of nonuniformly expanding maps with stretched exponential decay of correlations. In the large deviation regime, we also exhibit examples…

Probability · Mathematics 2022-01-26 C Cuny , J Dedecker , F Merlevède

Forward-backward multiplicity correlation strengths have been measured with the STAR detector for Au+Au and $\textit{p+p}$ collisions at $\sqrt{s_{NN}}$ = 200 GeV. Strong short and long range correlations (LRC) are seen in central Au+Au…

Nuclear Experiment · Physics 2009-10-29 The STAR Collaboration , B. I. Abelev

The crucial aspect of this demonstration is the discovery of renewal events, hidden in the computed dynamics of a multifractal metronome, which enables the replacement of the phenomenon of strong anticipation with a time delayed…

Adaptation and Self-Organizing Systems · Physics 2017-07-20 Korosh Mahmoodi , Bruce J. West , Paolo Grigolini

Long-range graph tasks -- those dependent on interactions between distant nodes -- are an open problem in graph neural network research. Real-world benchmark tasks, especially the Long Range Graph Benchmark, have become popular for…

Machine Learning · Computer Science 2025-06-09 Jacob Bamberger , Benjamin Gutteridge , Scott le Roux , Michael M. Bronstein , Xiaowen Dong

Lead-lag relationships, integral to market dynamics, offer valuable insights into the trading behavior of high-frequency traders (HFTs) and the flow of information at a granular level. This paper investigates the lead-lag relationships…

Computational Finance · Quantitative Finance 2025-01-07 Guanlin Li , Xiyan Chen , Yingzheng Liu

This paper develops a two-dimensional structural framework for valuing credit default swaps and corporate bonds in the presence of default contagion. Modelling the values of related firms as correlated geometric Brownian motions with…

Pricing of Securities · Quantitative Finance 2008-12-02 Helen Haworth , Christoph Reisinger , William Shaw

We empirically analyze the reversion of financial market trends with time horizons ranging from minutes to decades. The analysis covers equities, interest rates, currencies and commodities and combines 14 years of futures tick data, 30…

Statistical Finance · Quantitative Finance 2025-06-02 Sara A. Safari , Christof Schmidhuber

The local enhancement of antiferromagnetic correlations near vacancies observed in a variety of spin systems is analyzed in a single framework. Variational calculations suggest that the resonating-valence-bond character of the spin…

Strongly Correlated Electrons · Physics 2015-06-25 George Balster Martins , Markus Laukamp , Jose Riera , Elbio Dagotto

We give a detailed account of correlations between credit sector/quality and treasury curve factors, using the robust framework of the Barclays POINT Global Risk Model. Consistent with earlier studies, we find a strong negative correlation…

Portfolio Management · Quantitative Finance 2013-12-06 Arthur M. Berd , Elena Ranguelova , Antonio Baldaque da Silva

The directed bond percolation process is studied in the presence of com- pressible velocity fluctuations with long-range correlations. We discuss a construction of a field theoretic action and a way of obtaining its large scale properties…

Statistical Mechanics · Physics 2017-12-11 N. V. Antonov , M. Hnatich , A. S. Kapustin , T. Lučivjanský , L. Mižišin

Statistical mechanical systems at and near their points of phase transition are expected to exhibit rich, fractal-like behaviour that is independent of the small-scale details of the system but depends strongly on the dimension in which the…

Mathematical Physics · Physics 2025-10-07 Tom Hutchcroft

Market financial forecasting is a trending area in deep learning. Deep learning models are capable of tackling the classic challenges in stock market data, such as its extremely complicated dynamics as well as long-term temporal…

Statistical Finance · Quantitative Finance 2023-03-17 Shima Nabiee , Nader Bagherzadeh

For the past two decades investors have observed long memory and highly correlated behavior of asset classes that does not fit into the framework of Modern Portfolio Theory. Custom correlation and standard deviation estimators consider…

Statistical Finance · Quantitative Finance 2017-04-18 Sergey Kamenshchikov , Ilia Drozdov

Financial networks are typically estimated by applying standard time series analyses to price-based economic variables collected at low-frequency (e.g., daily or monthly stock returns or realized volatility). These networks are used for…

Statistical Finance · Quantitative Finance 2022-08-09 Kara Karpman , Sumanta Basu , David Easley