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,...

Background: Cancer is one of the most common causes of human mortality, with about 14 million new cases and 8.2 million deaths reported in in 2012. Early diagnosis of cancer through screening allows interventions to reduce mortality. Fractal analysis of medical images may be useful for this purpose. Materials and Methods: In this study, we examined magnetic resonance (MR) images of healthy live...

Fractal behavior and long-range dependence have been observed in an astonishing number of physical, biological, geological, and socio-economic systems. Time series, profiles, and surfaces have been characterized by their fractal dimension, a measure of roughness, and by the Hurst coefficient, a measure of long-memory dependence. Either phenomenon has been modeled and explained by self-affine ra...

Long range dependence induced by heavy tails is a widely reported feature of internet traffic. Long range dependence can be defined as the regular variation of the variance of the integrated process, and half the index of regular variation is then refered to as the Hurst index. The infinite source Poisson process (a particular case of which is the M/G/∞ queue) is a simple and popular model with...

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...

In order to estimate the Hurst exponent of long-range dependent time series numerous estimators such as based e.g. on rescaled 9 range statistic (R/S) or detrended fluctuation analysis (DFA) are traditionally employed. Motivated by empirical behaviour of the bias of R/S estimator, its bias-corrected version is proposed. It has smaller mean squared error than DFA and behaves comparably 11 to wav...

Long Range Dependent LRD network tra c does not behave like the tra c generated by the Poisson model or other Markovian models The main di er ence is that LRD tra c increases queueing delays due to the burstiness of the tra c over many time scales LRD tra c has been measured in di erent types and sizes of networks for di erent applications eg WWW and di erent tra c aggregations Since LRD behavi...