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Density estimation with Haar series

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Publication:1263901
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DOI10.1016/0167-7152(92)90003-NzbMath0688.62029MaRDI QIDQ1263901

Joachim Engel

Publication date: 1990

Published in: Statistics \& Probability Letters (Search for Journal in Brave)


zbMATH Keywords

rate of convergencebounded variationHaar seriesdensity estimatorsorthogonal series estimatorHaar-Fourier polynomialshistograms on dyadic intervalsmean integrated absolute error


Mathematics Subject Classification ID

Nonparametric estimation (62G05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Harmonic analysis in one variable (42A99)


Related Items (2)

A wavelet based rationalized approach for the numerical solution of differential and integral equations ⋮ Wavelets in statistics: A review



Cites Work

  • On the histogram as a density estimator:L 2 theory
  • Properties of the orthonormal Franklin system, II
  • On Multivariate Density Estimates Based on Orthogonal Expansions
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