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Wavelet estimation of a multifractal function

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Publication:1781185
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DOI10.3150/bj/1116340292zbMath1063.62047OpenAlexW1975847194MaRDI QIDQ1781185

Fabrice Gamboa, Jean-Michel Loubes

Publication date: 23 June 2005

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3150/bj/1116340292


zbMATH Keywords

Gaussian modelBernoulli constrained model


Mathematics Subject Classification ID

Density estimation (62G07) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Bayesian inference (62F15)


Related Items

Nonparametric reconstruction of a multifractal function from noisy data ⋮ Estimation of parameters of a multifractal process



Cites Work

  • Wavelets, approximation, and statistical applications
  • On lacunary wavelet series.
  • On minimax wavelet estimators
  • Random wavelet series
  • Likelihood methods for the discrimination problem
  • Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
  • Wavelet Thresholding via A Bayesian Approach
  • Ideal spatial adaptation by wavelet shrinkage
  • A multifractal wavelet model with application to network traffic
  • Conjecture de Frisch et Parisi et généricité des fonctions multifractales
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