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Physical Review Letters
Article . 2008 . Peer-reviewed
License: APS Licenses for Journal Article Re-use
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Bootstrapping Multifractals: Surrogate Data from Random Cascades on Wavelet Dyadic Trees

Authors: Paluš, M. (Milan);

Bootstrapping Multifractals: Surrogate Data from Random Cascades on Wavelet Dyadic Trees

Abstract

A method for random resampling of time series from multiscale processes is proposed. Bootstrapped series--realizations of surrogate data obtained from random cascades on wavelet dyadic trees--preserve the multifractal properties of input data, namely, interactions among scales and nonlinear dependence structures. The proposed approach opens the possibility for rigorous Monte Carlo testing of nonlinear dependence within, with, between, or among time series from multifractal processes.

Keywords

hypothesis testing, bootstrap, multifractal

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
24
Average
Top 10%
Average
Green