نتایج جستجو برای: hurst exponent
تعداد نتایج: 19422 فیلتر نتایج به سال:
In this paper, we build an estimator of the Hurst exponent of a fractional Lévy motion. The stochastic process is observed with random noise errors in the following framework: continuous time and discrete observation times. In both cases, we prove consistency of our wavelet type estimator. Moreover we perform some simulations in order to study numerically the asymptotic behaviour of this estimate.
We report an empirical study of the Ibovespa index of the São Paulo Stock Exchange in which we detect the existence of long-range correlations. To analyze our data we introduce a rescaled variant of the usual Detrended Fluctuation Analysis that allows us to obtain the Hurst exponent through a one-parameter fitting. We also compute a time-dependent Hurst exponent H(t) using three-year moving tim...
Hurst exponent (H) measured from R/S ratio, is being used as a measure to find predictability of a time series. The larger the H value, the stronger is the trending trait in the time series. In this paper, we estimated R/S ratio of several stock indexes of Indian market for 10 years. Though the overall Hurst exponent values for the selected series were close to 0.5, the value varied widely on p...
Abstract. In this note, a diffusion approximation result is shown for stochastic differential equations driven by a (Liouville) fractional Brownian motion B with Hurst parameter H ∈ (1/3, 1/2). More precisely, we resort to the Kac-Stroock type approximation using a Poisson process studied in [4, 7], and our method of proof relies on the algebraic integration theory introduced by Gubinelli in [13].
Citation: Stirling M, Bebbington M, Brenna M, Cronin S, Christophersen A, Deligne N, Hurst T, Jolly A, Jolly G, Kennedy B, Kereszturi G, Lindsay J, Neall V, Procter J, Rhoades D, Scott B, Shane P, Smith I, Smith R, Wang T, White JDL, Wilson CJN and Wilson T (2017) Conceptual Development of a National Volcanic Hazard Model for New Zealand. Front. Earth Sci. 5:51. doi: 10.3389/feart.2017.00051 Co...
In the present work, we investigate the fractal dimensions of 30 important stock markets from 2006 to 2013; the analysis indicates that the Hurst exponent of emerging markets shifts significantly away from the standard Brownian motion. We propose a model based on the Hurst exponent to explore the considerable profits from the predictable long-term memory. We take the transaction cost into accou...
BACKGROUND Investigation of the functioning of the brain in living systems has been a major effort amongst scientists and medical practitioners. Amongst the various disorder of the brain, epilepsy has drawn the most attention because this disorder can affect the quality of life of a person. In this paper we have reinvestigated the EEGs for normal and epileptic patients using surrogate analysis,...
We investigate the use of the Hurst exponent, dynamically computed over a weighted moving time-window, to evaluate the level of stability/instability of financial firms. Financial firms bailed-out as a consequence of the 2007–2008 credit crisis show a neat increasewith time of the generalized Hurst exponent in the period preceding the unfolding of the crisis. Conversely, firms belonging to othe...
The standard hypothesis concerning the behavior of asset returns states that they follow a random walk in discrete time or a Brownian motion in continuous time. The Brownian motion process is characterized by a quantity, called the Hurst exponent, which is related to some fractal aspects of the process itself. For a standard Brownian motion (sBm) this exponent is equal to 0.5. Several empirical...
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