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We study the statistical properties of volatility---a measure of how much the market is likely to fluctuate. We estimate the volatility by the local average of the absolute price changes. We analyze (a) the S&P 500 stock index for the…

Since August 2000, the stock market in the USA as well as most other western markets have depreciated almost in synchrony according to complex patterns of drops and local rebounds. In \cite{SZ02QF}, we have proposed to describe this…

Statistical Mechanics · Physics 2008-12-02 W. -X. Zhou , D. Sornette

In the present work we investigate the multiscale nature of the correlations for high frequency data (1 minute) in different futures markets over a period of two years, starting on the 1st of January 2003 and ending on the 31st of December…

Statistical Finance · Quantitative Finance 2009-11-13 M. Bartolozzi , C. Mellen , T. Di Matteo , T. Aste

We review some methods recently used in the literature to detect the existence of a certain degree of common behavior of stock returns belonging to the same economic sector. Specifically, we discuss methods based on random matrix theory and…

Physics and Society · Physics 2021-08-25 C. Coronnello , M. Tumminello , F. Lillo , S. Micciche` , R. N. Mantegna

Understanding how information flows through the financial networks is important, especially during times of market turbulence. Unlike traditional assumptions where information travels along the shortest paths, real-world diffusion processes…

Statistical Finance · Quantitative Finance 2025-09-12 Pawanesh Pawanesh , Charu Sharma , Niteesh Sahni

The detection of community structure in stock market is of theoretical and practical significance for the study of financial dynamics and portfolio risk estimation. We here study the community structures in Chinese stock markets from the…

Statistical Finance · Quantitative Finance 2017-08-02 Li-Ling Su , Xiong-Fei Jiang , Sai-Ping Li , Li-Xin Zhong , Fei Ren

The connectivity of stock markets reflects the information efficiency of capital markets and contributes to interior risk contagion and spillover effects. We compare Shanghai Stock Exchange A-shares (SSE A-shares) during tranquil periods,…

Econometrics · Economics 2024-03-29 Muzi Chen , Nan Li , Lifen Zheng , Difang Huang , Boyao Wu

In this paper we analyzed dependencies in commodity markets investigating correlations of future contracts for commodities over the period 1998.09.01 - 2007.12.14. We constructed a minimal spanning tree based on the correlation matrix. The…

Statistical Finance · Quantitative Finance 2009-11-13 Paweł Sieczka , Janusz A. Hołyst

Complex systems are usually non-stationary and their dynamics is often dominated by collective effects. Collectivity, defined as coherent motion of the whole system or of some of its parts, manifests itself in the time-dependent structures…

Statistical Finance · Quantitative Finance 2022-08-11 Anton J. Heckens , Thomas Guhr

A new branch based on Markov processes is developing in the recent literature of financial time series modeling. In this paper, an Indexed Markov Chain has been used to model high frequency price returns of quoted firms. The peculiarity of…

Statistical Finance · Quantitative Finance 2018-02-06 Guglielmo D'Amico , Ada Lika , Filippo Petroni

We tested 45 indices and common stocks traded in the South African stock market for the possible existence of a bubble over the period from Jan. 2003 to May 2006. A bubble is defined by a faster-than-exponential acceleration with…

Physics and Society · Physics 2009-01-09 Wei-Xing Zhou , Didier Sornette

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

Methods for detecting structural changes, or change points, in time series data are widely used in many fields of science and engineering. This chapter sketches some basic methods for the analysis of structural changes in time series data.…

Statistical Finance · Quantitative Finance 2018-08-28 Christian Kleiber

In financial markets, not only prices and returns can be considered as random variables, but also the waiting time between two transactions varies randomly. In the following, we analyse the statistical properties of General Electric stock…

Statistical Mechanics · Physics 2009-11-07 M. Raberto , E. Scalas , F. Mainardi

The major study by Bordo and Helbing (2003) analyses the business cycle in Western economies 1881-2001. They examine four distinct periods in economic history, and conclude that there is a secular trend towards greater synchronisation for…

Statistical Finance · Quantitative Finance 2008-12-02 Paul Ormerod

This study explores contagion in the Chinese stock market using Hawkes processes to analyze autocorrelation and cross-correlation in multivariate time series data. We examine whether market indices exhibit trending behavior and whether…

Statistical Finance · Quantitative Finance 2025-12-10 Junwei Yang

The NYSE and NASDAQ stock markets have very different structures and there is continuing controversy over whether differences in stock price behaviour are due to market structure or company characteristics. As the influence of market…

Physics and Society · Physics 2008-12-02 Ainslie Yuen , Plamen Ch. Ivanov

In this paper, we contribute to the literature on energy market co-movement by studying its dynamics in the time-frequency domain. The novelty of our approach lies in the application of wavelet tools to commodity market data. A major part…

Statistical Finance · Quantitative Finance 2012-01-24 Lukas Vacha , Jozef Barunik

Statistical analysis of high-frequency stock market order transaction data is conducted to understand order transition dynamics. We employ a first-order time-homogeneous discrete-time Markov chain model to the sequence of orders of stocks…

Statistical Finance · Quantitative Finance 2024-05-10 Salam Rabindrajit Luwang , Anish Rai , Md. Nurujjaman , Om Prakash , Chittaranjan Hens

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