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Wavelet Like Behavior of Slepian Functions and Their Use in Density Estimation

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Publication:4678846
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DOI10.1081/STA-200052105zbMath1061.62059OpenAlexW2013657928MaRDI QIDQ4678846

Gilbert G. Walter, Xiaoping Shen

Publication date: 23 May 2005

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sta-200052105


zbMATH Keywords

probability densitywaveletKernel density estimationprolate spheroidal wave functionsSlepian semi-wavelets


Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Probability distributions: general theory (60E05)


Related Items

Spatiospectral concentration in the Cartesian plane ⋮ Periodic Prolate Spheroidal Wavelets



Cites Work

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  • Positive sampling in wavelet subspaces
  • Wavelets based on prolate spheroidal wave functions
  • Prolate spheroidal wavefunctions, quadrature and interpolation
  • Some comments on Fourier analysis, uncertainty and modeling
  • A sampling theorem for wavelet subspaces
  • Ten Lectures on Wavelets
  • Differential operators which commute with characteristic functions with applications to a lucky accident
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