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- W2765366346 abstract "In the canonical framework, we propose an alternative approach for the multifractal analysis based on the detrending moving average method (MF-DMA). We define a canonical measure such that the multifractal mass exponent $ensuremath{tau}(q)$ is related to the partition function and the multifractal spectrum $f(ensuremath{alpha})$ can be directly determined. The performances of the direct determination approach and the traditional approach of the MF-DMA are compared based on three synthetic multifractal and monofractal measures generated from the one-dimensional $p$-model, the two-dimensional $p$-model, and the fractional Brownian motions. We find that both approaches have comparable performances to unveil the fractal and multifractal nature. In other words, without loss of accuracy, the multifractal spectrum $f(ensuremath{alpha})$ can be directly determined using the new approach with less computation cost. We also apply the new MF-DMA approach to the volatility time series of stock prices and confirm the presence of multifractality." @default.
- W2765366346 created "2017-11-10" @default.
- W2765366346 creator A5061944773 @default.
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- W2765366346 date "2017-11-03" @default.
- W2765366346 modified "2023-10-15" @default.
- W2765366346 title "Direct determination approach for the multifractal detrending moving average analysis" @default.
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- W2765366346 doi "https://doi.org/10.1103/physreve.96.052201" @default.
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- W2765366346 hasPublicationYear "2017" @default.
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