Wavelet-based detection of scaling behavior in noisy experimental data.

@article{Contoyiannis2020WaveletbasedDO,
  title={Wavelet-based detection of scaling behavior in noisy experimental data.},
  author={Yiannis F. Contoyiannis and Stelios M. Potirakis and Fotios Diakonos},
  journal={Physical review. E},
  year={2020},
  volume={101 5-1},
  pages={
          052104
        }
}
The detection of power laws in real data is a demanding task for several reasons. The two most frequently met are that (i) real data possess noise, which affects the power-law tails significantly, and (ii) there is no solid tool for discrimination between a power law, valid in a specific range of scales, and other functional forms like log-normal or stretched exponential distributions. In the present report we demonstrate, employing simulated and real data, that using wavelets it is possible to… 

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