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Long-range correlation in financial time series reflects the complex dynamics of the stock markets driven by algorithms and human decisions. Our analysis exploits ultra-high frequency order book data from NASDAQ Nordic over a period of…

Trading and Market Microstructure · Quantitative Finance 2017-11-10 Martin Magris , Jiyeong Kim , Esa Rasanen , Juho Kanniainen

We examine the Detrended Fluctuation Analysis (DFA), which is a well-established method for the detection of long-range correlations in time series. We show that deviations from scaling that appear at small time scales become stronger in…

Statistical Mechanics · Physics 2009-11-07 Jan W. Kantelhardt , Eva Koscielny-Bunde , Henio H. A. Rego , Shlomo Havlin , Armin Bunde

We examine several recently suggested methods for the detection of long-range correlations in data series based on similar ideas as the well-established Detrended Fluctuation Analysis (DFA). In particular, we present a detailed comparison…

Statistical Finance · Quantitative Finance 2009-11-13 Amir Bashan , Ronny Bartsch , Jan W. Kantelhardt , Shlomo Havlin

An average instantaneous cross-correlation function is introduced to quantify the interaction of the financial market of a specific time. Based on the daily data of the American and Chinese stock markets, memory effect of the average…

Statistical Finance · Quantitative Finance 2015-05-18 Tian Qiu , Guang Chen , Li-Xin Zhong , Xiao-Wei Lei

The Detrending Moving Average (DMA) algorithm has been widely used in its several variants for characterizing long-range correlations of random signals and sets (one-dimensional sequences or high-dimensional arrays) either over time or…

Data Analysis, Statistics and Probability · Physics 2016-07-01 Anna Carbone , Ken Kiyono

Long-range correlation and fluctuation in the gold market time series of world's two leading gold consuming countries, namely China and India, are studied. For both the market series during the period 1985-2013 we observe a long-range…

Statistical Finance · Quantitative Finance 2015-06-01 Provash Mali , Amitabha Mukhopadhyay

We study the various sectors of the Bombay Stock Exchange(BSE) for a period of 8 years from April 2006 - March 2014. Using the data of daily returns of a period of eight years we make a direct model free analysis of the pattern of the…

Statistical Finance · Quantitative Finance 2015-04-23 Chandradew Sharma , Kinjal Banerjee

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

According to the leading models in modern finance, the presence of intraday lead-lag relationships between financial assets is negligible in efficient markets. With the advance of technology, however, markets have become more sophisticated.…

Statistical Finance · Quantitative Finance 2014-01-03 Chester Curme , Michele Tumminello , Rosario N. Mantegna , H. Eugene Stanley , Dror Y. Kenett

Using a recently introduced method to quantify the time varying lead-lag dependencies between pairs of economic time series (the thermal optimal path method), we test two fundamental tenets of the theory of fixed income: (i) the stock…

Statistical Finance · Quantitative Finance 2011-09-26 Kun Guo , Wei-Xing Zhou , Si-Wei Cheng , Didier Sornette

Long-range correlation, a property of time series exhibiting long-term memory, is mainly studied in the statistical physics domain and has been reported to exist in natural language. Using a state-of-the-art method for such analysis,…

Computation and Language · Computer Science 2017-12-12 Kumiko Tanaka-Ishii

In this paper we analyse the fractal structure of long human-language records by mapping large samples of texts onto time series. The particular mapping set up in this work is inspired on linguistic basis in the sense that is retains {\em…

Statistical Mechanics · Physics 2007-05-23 Marcelo A. Montemurro , Pedro A. Pury

We show that the martingale component in the long-term factorization of the stochastic discount factor due to Alvarez and Jermann (2005) and Hansen and Scheinkman (2009) is highly volatile, produces a downward-sloping term structure of bond…

Mathematical Finance · Quantitative Finance 2016-01-26 Likuan Qin , Vadim Linetsky , Yutian Nie

We propose a general interpretation for long-range correlation effects in the activity and volatility of financial markets. This interpretation is based on the fact that the choice between `active' and `inactive' strategies is subordinated…

Disordered Systems and Neural Networks · Physics 2009-11-07 Irene Giardina , Jean-Philippe Bouchaud , Marc Mézard

Trend change prediction in complex systems with a large number of noisy time series is a problem with many applications for real-world phenomena, with stock markets as a notoriously difficult to predict example of such systems. We approach…

Computational Finance · Quantitative Finance 2018-11-30 Ben Moews , J. Michael Herrmann , Gbenga Ibikunle

This study presents a comprehensive empirical investigation of the presence of long-range dependence (LRD) in the dynamics of major U.S. stock market indexes--S\&P 500, Dow Jones, and Nasdaq--at daily, weekly, and monthly frequencies. We…

Statistical Finance · Quantitative Finance 2025-09-25 Yifan He , Svetlozar Rachev

We present cross and time series analysis of price fluctuations in the U.S. Treasury fixed income market. By means of techniques borrowed from statistical physics we show that the correlation among bonds depends strongly on the maturity and…

Statistical Mechanics · Physics 2008-12-10 M. Bernaschi , L. Grilli , L. Marangio , S. Succi , D. Vergni

The measured correlations of financial time series in subsequent epochs change considerably as a function of time. When studying the whole correlation matrices, quasi-stationary patterns, referred to as market states, are seen by applying…

Statistical Finance · Quantitative Finance 2020-11-03 Anton J. Heckens , Sebastian M. Krause , Thomas Guhr

We propose a novel two-stage framework to detect lead-lag relationships in the Chinese A-share market. First, long-term coupling between stocks is measured via daily data using correlation, dynamic time warping, and rank-based metrics.…

Computational Finance · Quantitative Finance 2025-06-25 Jianyong Fang , Sitong Wu , Junfan Tong

The detrending moving average (DMA) algorithm is a widely used technique to quantify the long-term correlations of non-stationary time series and the long-range correlations of fractal surfaces, which contains a parameter $\theta$…

Statistical Finance · Quantitative Finance 2010-08-03 Gao-Feng Gu , Wei-Xing Zhou
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