A self-adaptive technique for the estimation of the multifractal spectrum
The Hausdorff spectrum of a measure is approximated by the large deviation spectrum. We propose a self adaptive method for its estimation. Consistency holds even if the spectrum is not concave, under hypotheses suitable for practical applications.
Year of publication: |
2001
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Authors: | Broniatowski, Michel ; Mignot, Pascal |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 54.2001, 2, p. 125-135
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Publisher: |
Elsevier |
Keywords: | Multifractal measure Spectrum Nonparametric estimation Kernel method |
Saved in:
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