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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 market efficiency hypothesis has been proposed to explain the behavior of time series of stock markets. The Black-Scholes model (B-S) for example, is based on the assumption that markets are efficient. As a consequence, it is…

Statistical Finance · Quantitative Finance 2019-03-20 Carlos Arturo Soto Campos , Leopoldo Sánchez Cantú , Zeus Hernández Veleros

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 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

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

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

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

Hurst Exponent has been widely used in different fields as a measure of long range dependence in time series. It has been studied in hydrology and geophysics, economics and finance, and recently, it is still a hot topic in the different…

Computation · Statistics 2018-05-24 Roel F. Ceballos , Fe F. Largo

We use a new method of studying the Hurst exponent with time and scale dependency. This new approach allow us to recover the major events affecting worldwide markets (such as the September 11th terrorist attack) and analyze the way those…

Data Analysis, Statistics and Probability · Physics 2007-05-23 J. A. O. Matos , S. M. A. Gama , H. J. Ruskin , A. Sharkasi , M. Crane

This article explores the required amount of time series points from a high-speed computer network to accurately estimate the Hurst exponent. The methodology consists in designing an experiment using estimators that are applied to time…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Ginno Millán , Román Osorio-Comparán , Gastón Lefranc

The local Hurst exponent, a measure employed to detect the presence of dependence in a time series, may also be used to investigate the source of intraday variation observed in the returns in foreign exchange markets. Given that changes in…

Statistics Theory · Mathematics 2009-11-10 Jonathan A. Batten , Craig A. Ellis , Warren P. Hogan

The Hurst exponent is a significant metric for characterizing time sequences with long-term memory property and it arises in many fields. The available methods for estimating the Hurst exponent can be categorized into time-domain and…

Methodology · Statistics 2024-12-23 Hong-Yan Zhang , Zhi-Qiang Feng , Si-Yu Feng , Yu Zhou

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

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

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

In this paper, we show how the sampling properties of the Hurst exponent methods of estimation change with the presence of heavy tails. We run extensive Monte Carlo simulations to find out how rescaled range analysis (R/S), multifractal…

Statistical Finance · Quantitative Finance 2012-01-24 Jozef Barunik , Ladislav Kristoufek

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

The scaling properties encompass in a simple analysis many of the volatility characteristics of financial markets. That is why we use them to probe the different degree of markets development. We empirically study the scaling properties of…

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

The Hurst exponent is the simplest numerical summary of self-similar long-range dependent stochastic processes. We consider the estimation of Hurst exponent in long-range dependent curve time series. Our estimation method begins by…

Statistics Theory · Mathematics 2020-09-21 Han Lin Shang

It is empirically established that order flow in the financial markets is positively auto-correlated and can serve as an example of a social system with long-range memory. Nevertheless, widely used long-range memory estimators give varying…

Statistical Finance · Quantitative Finance 2020-10-02 Vygintas Gontis
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