Fractional-order formulation of power-law and exponential distributions |
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Authors: | A Alexopoulos GV Weinberg |
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Institution: | PO Box 123-AA, Adelaide SA, 5000, Australia |
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Abstract: | We present a novel approach to data analysis using fractional order calculus. In principle the approach can be applied to any distribution and shows remarkable improvement even if the parameters of a particular distribution have been optimised to achieve the best fit to data. The method is demonstrated for two important distributions that are used in data analysis, namely, power-law and exponential distributions. We show that the approach can allow composite distributions to be constructed for improved accuracy and robustness in the characterisation of data sets. |
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Keywords: | Fractional-order calculus Data curve fitting |
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