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As described in this paper, we study market-wide price co-movements around crashes by analyzing a dataset of high-frequency stock returns of the constituent issues of Nikkei 225 Index listed on the Tokyo Stock Exchange for the three years…

Statistical Finance · Quantitative Finance 2013-06-11 Jun-ichi Maskawa , Joshin Murai , Koji Kuroda

Detailed study of multifractal characteristics of the financial time series of asset values and of its returns is performed using a collection of the high frequency Deutsche Aktienindex data. The tail index ($\alpha$), the Renyi exponents…

Statistical Mechanics · Physics 2009-11-07 A. Z. Gorski , S. Drozdz , J. Speth

High-speed computerized trading, often called "high-frequency trading" (HFT), has increased dramatically in financial markets over the last decade. In the US and Europe, it now accounts for nearly one-half of all trades. Although evidence…

Trading and Market Microstructure · Quantitative Finance 2012-11-09 Austin Gerig

The concept of multifractality offers a powerful formal tool to filter out multitude of the most relevant characteristics of complex time series. The related studies thus far presented in the scientific literature typically limit themselves…

Statistical Finance · Quantitative Finance 2018-09-25 Stanisław Drożdż , Rafał Kowalski , Paweł Oświȩcimka , Rafał Rak , Robert Gȩbarowski

In this paper we propose a bivariate generalization of a weighted indexed semi-Markov chains to study the high frequency price dynamics of traded stocks. We assume that financial returns are described by a weighted indexed semi-Markov chain…

Statistical Finance · Quantitative Finance 2013-05-03 Guglielmo D'Amico , Filippo Petroni

We report evidence of a deep interplay between cross-correlations hierarchical properties and multifractality of New York Stock Exchange daily stock returns. The degree of multifractality displayed by different stocks is found to be…

Statistical Finance · Quantitative Finance 2014-04-10 Raffaello Morales , T. Di Matteo , Tomaso Aste

Modelling non-homogeneous and multi-component data is a problem that challenges scientific researchers in several fields. In general, it is not possible to find a simple and closed form probabilistic model to describe such data. That is why…

Methodology · Statistics 2017-12-27 Nehla Debbabi , Marie Kratz , Mamadou Mboup

There are at least a number of ways to formally define complexity. Most of them relate to some kind of minimal description of the studied object. Being this one in form of minimal resources of minimal effort needed to generate the object…

Quantum Physics · Physics 2013-04-25 Yuri Campbell , José Roberto Castilho Piqueira

The complexity of financial markets arise from the strategic interactions among agents trading stocks, which manifest in the form of vibrant correlation patterns among stock prices. Over the past few decades, complex financial markets have…

Statistical Finance · Quantitative Finance 2021-02-02 Areejit Samal , Hirdesh K. Pharasi , Sarath Jyotsna Ramaia , Harish Kannan , Emil Saucan , Jürgen Jost , Anirban Chakraborti

The study of time series has motivated many researchers, particularly on the area of multivariate-analysis. The study of co-movements and dependency between random variables leads us to develop metrics to describe existing connection…

Machine Learning · Computer Science 2022-03-08 Hugo Schnoering , Hugo Inzirillo

Full electronic automation in stock exchanges has recently become popular, generating high-frequency intraday data and motivating the development of near real-time price forecasting methods. Machine learning algorithms are widely applied to…

Applications · Statistics 2023-03-29 Xuekui Zhang , Yuying Huang , Ke Xu , Li Xing

Portfolio allocation via stock price prediction is inherently difficult due to the notoriously low signal-to-noise ratio of stock time series. This paper proposes a method by integrating wavelet transform convolution and channel attention…

Statistical Finance · Quantitative Finance 2025-07-08 Junjie Guo

A challenging problem in physics concerns the possibility of forecasting rare but extreme phenomena such as large earthquakes, financial market crashes, and material rupture. A promising line of research involves the early detection of…

Data Analysis, Statistics and Probability · Physics 2008-12-02 G. M. Viswanathan

A Hawkes process model with a time-varying background rate is developed for analyzing the high-frequency financial data. In our model, the logarithm of the background rate is modeled by a linear model with a relatively large number of…

Statistical Finance · Quantitative Finance 2017-07-24 Takahiro Omi , Yoshito Hirata , Kazuyuki Aihara

Financial correlation matrices measure the unsystematic correlations between stocks. Such information is important for risk management. The correlation matrices are known to be ``noise dressed''. We develop a new and alternative method to…

Statistical Mechanics · Physics 2009-11-07 Thomas Guhr , Bernd Kaelber

The proprietary nature of Hedge Fund investing means that it is common practise for managers to release minimal information about their returns. The construction of a Fund of Hedge Funds portfolio requires a correlation matrix which often…

Statistical Finance · Quantitative Finance 2010-05-28 Thomas Conlon , Heather J. Ruskin , Martin Crane

To the naked eye, stock prices are considered chaotic, dynamic, and unpredictable. Indeed, it is one of the most difficult forecasting tasks that hundreds of millions of retail traders and professional traders around the world try to do…

Computational Finance · Quantitative Finance 2025-02-17 Shuozhe Li , Zachery B Schulwol , Risto Miikkulainen

Correlations between random variables play an important role in applications, e.g.\ in financial analysis. More precisely, accurate estimates of the correlation between financial returns are crucial in portfolio management. In particular,…

Methodology · Statistics 2014-01-31 Pedro Galeano , Dominik Wied

We introduce a HD DCC-HEAVY class of hierarchical-type factor models for high-dimensional covariance matrices, employing the realized measures built from higher-frequency data. The modelling approach features straightforward estimation and…

Econometrics · Economics 2024-07-17 Emilija Dzuverovic , Matteo Barigozzi

We analyse the structure of the distribution of eigenvalues of the stock market correlation matrix with increasing length of the time series representing the price changes. We use 100 highly-capitalized stocks from the American market and…

Physics and Society · Physics 2009-11-11 J. Kwapien , P. Oswiecimka , S. Drozdz