Evaluating scaled windowed variance methods for estimating the Hurst coefficient of time series

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Estimating the Hurst Exponent

The Hurst Exponent is a dimensionless estimator for the self-similarity of a time series. Initially defined by Harold Edwin Hurst to develop a law for regularities of the Nile water level, it now has applications in medicine and finance. Meaningful values are in the range [0, 1]. Different methods for estimating the Hurst Exponent have been evaluated: The classical “Rescaled Range” method devel...

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Extended Abstract. Forecasting is one of the most important purposes of time series analysis. For many years, classical methods were used for this aim. But these methods do not give good performance results for real time series due to non-linearity and non-stationarity of these data sets. On one hand, most of real world time series data display a time-varying second order structure. On th...

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ژورنال

عنوان ژورنال: Physica A: Statistical Mechanics and its Applications

سال: 1997

ISSN: 0378-4371

DOI: 10.1016/s0378-4371(97)00252-5