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Related papers: Dynamic Hurst Exponent in Time Series

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We empirically investigated the relationships between the degree of efficiency and the predictability in financial time-series data. The Hurst exponent was used as the measurement of the degree of efficiency, and the hit rate calculated…

Statistical Finance · Quantitative Finance 2009-11-13 Cheoljun Eom , Sunghoon Choi , Gabjin Oh , Woo-Sung Jung

We give a stochastic microscopic modelling of stock markets driven by continuous double auction. If we take into account the mimetic behavior of traders, when they place limit order, our virtual markets shows the power-law tail of the…

Computational Physics · Physics 2009-11-13 Jun-ichi Maskawa

We investigate the use of the Hurst exponent, dynamically computed over a moving time-window, to evaluate the level of stability/instability of financial firms. Financial firms bailed-out as a consequence of the 2007-2010 credit crisis show…

Statistical Finance · Quantitative Finance 2013-05-24 Raffaello Morales , T. Di Matteo , Ruggero Gramatica , Tomaso Aste

Different investment strategies are adopted in short-term and long-term depending on the time scales, even though time scales are adhoc in nature. Empirical mode decomposition based Hurst exponent analysis and variance technique have been…

Statistical Finance · Quantitative Finance 2021-03-10 Ajit Mahata , Md Nurujjaman

We empirically analyze the scaling properties of daily Foreign Exchange rates, Stock Market indices and Bond futures across different financial markets. We study the scaling behaviour of the time series by using a generalized Hurst exponent…

Statistical Mechanics · Physics 2008-12-02 T. Di Matteo , T. Aste , M. M. Dacorogna

A methodology is developed to identify, as units of study, each decrease in the value of a stock from a given maximum price level. A critical level in the amount of price declines is found to separate a segment operating under a random walk…

Statistical Finance · Quantitative Finance 2017-03-28 Leopoldo Sánchez-Cantú , Carlos Arturo Soto-Campos , Andriy Kryvko

Considering that both the entropy-based market information and the Hurst exponent are useful tools for determining whether the efficient market hypothesis holds for a given asset, we study the link between the two approaches. We thus…

Statistical Finance · Quantitative Finance 2023-06-26 Xavier Brouty , Matthieu Garcin

We reanalyze high resolution data from the New York Stock Exchange and find a monotonic (but not power law) variation of the mean value per trade, the mean number of trades per minute and the mean trading activity with company…

Physics and Society · Physics 2008-12-02 Zoltan Eisler , Janos Kertesz

The paper presents the comparative study of the nature of stock markets in short-term and long-term time scales with and without structural break in the stock data. Structural break point has been identified by applying Zivot and Andrews…

Statistical Finance · Quantitative Finance 2021-03-10 Ajit Mahata , Debi Prasad Bal , Md Nurujjaman

The conventional formal tool to detect effects of the financial persistence is in terms of the Hurst exponent. A typical corresponding result is that its value comes out close to 0.5, as characteristic for geometric Brownian motion, with at…

Physics and Society · Physics 2008-12-02 R. Rak , S. Drozdz , J. Kwapien , P. Oswiecimka

In this paper, three approaches to calculate the self-similarity exponent of a time series are compared in order to determine which one performs best to identify the transition from random efficient market behavior (EM) to herding behavior…

Statistical Finance · Quantitative Finance 2017-03-08 M. Fernández-Martínez , M. A Sánchez-Granero , María José Muñoz Torrecillas , Bill McKelvey

This study investigates empirically whether the degree of stock market efficiency is related to the prediction power of future price change using the indices of twenty seven stock markets. Efficiency refers to weak-form efficient market…

Statistical Finance · Quantitative Finance 2009-11-13 Cheoljun Eom , Gabjin Oh , Woo-Sung Jung

The mathematical model of a linear system with the short memory about own stochastic behavior is proposed. It is assumed that the system is under a continual influence of independent stochastic impulses. In a short memory approximation the…

Probability · Mathematics 2008-12-10 D. N. Zhabin

In this paper, we use the generalized Hurst exponent approach to study the multi- scaling behavior of different financial time series. We show that this approach is robust and powerful in detecting different types of multiscaling. We…

Statistical Finance · Quantitative Finance 2012-05-25 Jozef Barunik , Tomaso Aste , Tiziana Di Matteo , Ruipeng Liu

Volatility, as a primary indicator of financial risk, forms the foundation of classical frameworks such as Markowitz's Portfolio Theory and the Efficient Market Hypothesis (EMH). However, its conventional use rests on assumptions-most…

General Finance · Quantitative Finance 2025-08-19 Sergio Bianchi , Daniele Angelini , Massimiliano Frezza , Augusto Pianese

We apply the Hurst exponent idea for investigation of DJIA index time-series data. The behavior of the local Hurst exponent prior to drastic changes in financial series signal is analyzed. The optimal length of the time-window over which…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. Grech , Z. Mazur

We study the temporal fluctuations in time-dependent stock prices (both individual and composite) as a stochastic phenomenon using general techniques and methods of nonequilibrium statistical mechanics. In particular, we analyze stock price…

Physics and Society · Physics 2008-12-02 M. Constantin , S. Das Sarma

We present a simple model of a stock market where a random communication structure between agents gives rise to a heavy tails in the distribution of stock price variations in the form of an exponentially truncated power-law, similar to…

Statistical Mechanics · Physics 2014-01-14 Rama Cont , Jean-Philippe Bouchaud

The paper is devoted to elaboration of a novel specific indicator based on the modified Holder exponents. This indicator has been used for forecasting critical points of financial time series and crashes of the USA stock market. The…

Statistical Finance · Quantitative Finance 2008-12-10 Yu. A Kuperin , R. R. Schastlivtsev

In the present work we demonstrate the application of different physical methods to high-frequency or tick-by-tick financial time series data. In particular, we calculate the Hurst exponent and inverse statistics for the price time series…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 M. Bartolozzi , C. Mellen , F. Chan , D. Oliver , T. Di Matteo , T. Aste
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