In this paper, we develop a new multiscale modeling framework for characterizing positive-valued data with longrange-dependent correlations (1=f noise). Using the Haar wavelet transform and a special multiplicative structure on the wavelet and scaling coefficients to ensure positive results, the model provides a rapid O(N) cascade algorithm for synthesizing N point data sets. We study both the ...

In this paper, we develop a new multiscale modeling framework for characterizing positive-valued data with long-range-dependent correlations (1=f noise). Using the Haar wavelet transform and a special multiplicative structure on the wavelet and scaling coeecients to ensure positive results, the model provides a rapid O(N) cascade algorithm for synthesizing N-point data sets. We study both the s...

The dramatic deregulatory reforms in US electricity markets increased competition, resulting more complex prices compared to other commodities. This paper aims investigate and compare the overall time-varying multifractality efficiency of four major regions: Mass Hub, Mid C, Palo Verde, PJM West. Multifractal detrended fluctuation analysis (MFDFA) is employed better quantify intensity self-simi...

The geomagnetic field at the Earth’s surface is determined by a large number of current sources, internal and external, which vary at overlapping time scales. As a result, the time variation of the field, ranging from nHz to tens of Hz, can be modeled as a multifractal whose properties depend on frequency and activity level, with the latter being largely determined by the external driving due t...

Multifractal theory provides an elegant statistical characterization of many complex dynamical variations in Nature and engineering. It is conceivable that it may enrich characterization of the sun’s magnetic activity and its dynamical modeling. Recently, on applying Fourier truncation to remove the 11-year cycle and carrying out multifractal detrended fluctuation analysis of the filtered sunsp...

Separation of geochemical anomalies from background has always been a major concern of exploration geochemistry. The search for methods that can make this analysis quantitative and objective aims not only at the reduction of subjectiveness but also at providing an automatic routine in exploration, assisting the interpretation and production of geochemical maps. This report discusses two methodo...

It has been customary in the last few decades to employ stochastic models to represent complex data sets encountered in geophysics, particularly in hydrology. This article reviews a deterministic geometric procedure to data modeling, one that represents whole data sets as derived distributions of simple multifractal measures via fractal functions. It is shown how such a procedure may lead to fa...

World Wide Web (WWW) caching is used to improve network latency and bandwidth usage by storing previously requested files in a cache. Ideally, the cache replacement policy should account for the intrinsic characteristics of WWW traffic, which include temporal locality, spatial locality, and popularity. In this paper, we accurately capture these three characteristics in a stochastic model, which...