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The multiresolution histogram

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Publication:1362839
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DOI10.1007/BF02717165zbMath0872.62041MaRDI QIDQ1362839

Joachim Engel

Publication date: 19 October 1997

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186272


zbMATH Keywords

mean integrated squared errorHaar waveletsdensity estimatorbin size selectionlocally adaptive histogram constructionmultiresolution histogram


Mathematics Subject Classification ID

Density estimation (62G07)


Related Items

Multiscale interpretation of taut string estimation and its connection to unbalanced Haar wavelets ⋮ Inhomogeneous and anisotropic conditional density estimation from dependent data ⋮ Combining regular and irregular histograms by penalized likelihood ⋮ A comparison of automatic histogram constructions



Cites Work

  • Averaged shifted histograms: Effective nonparametric density estimators in several dimensions
  • A simple wavelet approach to nonparametric regression from recursive partitioning schemes
  • A Brief Survey of Bandwidth Selection for Density Estimation
  • On optimal and data-based histograms
  • The construction of optimal histograms
  • On the histogram as a density estimator:L 2 theory
  • Ten Lectures on Wavelets
  • An Overview of Wavelet Based Multiresolution Analyses
  • On Multivariate Density Estimates Based on Orthogonal Expansions
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