Inverting noisy integral equations using wavelet expansions: a class of irregular convolutions

DOI10.1214/lnms/1215090087zbMath1371.42042OpenAlexW1917208338MaRDI QIDQ5365693

Hall, Peter, Onno van Gaans, Arnoud C. M. van Rooij, Frits H. Ruymgaart

Publication date: 9 October 2017

Published in: State of the art in probability and statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.lnms/1215090087

Mathematics Subject Classification ID

Density estimation (62G07) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Linear integral equations (45A05)

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Using wavelet methods to solve noisy Abel-type equations with discontinuous inputs ⋮ TRANSLATION INVARIANT DECONVOLUTION IN A PERIODIC SETTING ⋮ A new method of solving noisy Abel-type equations ⋮ Periodic boxcar deconvolution and Diophantine approximation ⋮ On optimal uniform deconvolution ⋮ Density deconvolution under general assumptions on the distribution of measurement errors ⋮ Density estimation in the uniform deconvolution model

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