<p>Correlations between Hurst parameter estimates show that they are consistent but not precise. <i>Below Diagonal</i>: correlations between the measures computed over the same 1000 time series with <i>H</i> = 0.5 show that for most measures, errors on estimating the same exponent are not strongly correlated (light green to white to blue) with the exception of a few positively correlated (dark green) measures. <i>Above Diagonal</i>: correlations between Hurst estimates of the same 1000 time series with <i>H</i> values distributed uniformly between 0 and 1 show that measure estimates are consistent across a range of exponents, with some measures showing stronger correlation (green) than others (yellow).</p
<p>(<i>N</i> = 5000 “genes”) against the known true correlations used to generate the data (dotted l...
To assess whether a given time series can be modeled by a stochastic process possessing long range c...
In the present work we investigate the multiscale nature of the correlations for high frequency data...
In order to estimate the Hurst exponent of long-range dependent time series numerous estimators such...
The main goal of this thesis is to test the ability of the Hurst exponent to recognise some processe...
ABSTRACT: In this paper we explore the informative content of time dependent Hurst expo-nents, separ...
We combine two existing estimators of the local Hurst exponent to improve both the goodness of fit a...
The computation of the bivariate Hurst exponent constitutes an important technique to test the power...
<p>For each Hurst exponent, statistical average and fluctuation are obtained over an ensemble of in...
<p>(A) Detrended fluctuation analysis (DFA, see Methods Section B) of white player’s advantage incre...
The discovery of the dynamics of a time series requires construction of the transition density, 1-po...
Nowadays a lot of methods for the estimation of Hurst's coefficient (H) in time series are available...
We focus on finite sample properties of two mostly used methods of Hurst exponent H estimation – R/S...
Notwithstanding the significant efforts to develop estimators of long-range correlations (LRC) and t...
Abstract: The generalized Hurst exponent H is often used to establish multiscaling in nancial time s...
<p>(<i>N</i> = 5000 “genes”) against the known true correlations used to generate the data (dotted l...
To assess whether a given time series can be modeled by a stochastic process possessing long range c...
In the present work we investigate the multiscale nature of the correlations for high frequency data...
In order to estimate the Hurst exponent of long-range dependent time series numerous estimators such...
The main goal of this thesis is to test the ability of the Hurst exponent to recognise some processe...
ABSTRACT: In this paper we explore the informative content of time dependent Hurst expo-nents, separ...
We combine two existing estimators of the local Hurst exponent to improve both the goodness of fit a...
The computation of the bivariate Hurst exponent constitutes an important technique to test the power...
<p>For each Hurst exponent, statistical average and fluctuation are obtained over an ensemble of in...
<p>(A) Detrended fluctuation analysis (DFA, see Methods Section B) of white player’s advantage incre...
The discovery of the dynamics of a time series requires construction of the transition density, 1-po...
Nowadays a lot of methods for the estimation of Hurst's coefficient (H) in time series are available...
We focus on finite sample properties of two mostly used methods of Hurst exponent H estimation – R/S...
Notwithstanding the significant efforts to develop estimators of long-range correlations (LRC) and t...
Abstract: The generalized Hurst exponent H is often used to establish multiscaling in nancial time s...
<p>(<i>N</i> = 5000 “genes”) against the known true correlations used to generate the data (dotted l...
To assess whether a given time series can be modeled by a stochastic process possessing long range c...
In the present work we investigate the multiscale nature of the correlations for high frequency data...