On shape-preserving wavelet estimators of cumulative distribution functions and densities

DOI10.1080/07362999808809543zbMath0908.62045OpenAlexW2012072534MaRDI QIDQ4393905

Lubomir Dechevski, Spiridon I. Penev

Publication date: 1 October 1998

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362999808809543

zbMATH Keywords

density estimationdistribution function estimationrisk boundswavelet approximations

Mathematics Subject Classification ID

Density estimation (62G07) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30) Algorithms for approximation of functions (65D15)

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Cites Work

• Theory of function spaces
• Density estimation in Besov spaces
• Interpolation of normed Abelian groups
• [https://portal.mardi4nfdi.de/wiki/Publication:3048064 Estimation des densit�s: risque minimax]
• Ten Lectures on Wavelets
• Monotone and probabilistic wavelet approximation
• On shape-preserving probabilistic wavelet approximators
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