Log-density estimation in linear inverse problems

DOI10.1214/aos/1030563989zbMath0930.62036OpenAlexW1986678720MaRDI QIDQ1807071

Han-Yeong Chung, Ja-Yong Koo

Publication date: 9 November 1999

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1030563989

zbMATH Keywords

rate of convergenceexponential familiesSVDpositron emission tomographyKullback-Leibler distancelinear inverse problemsindirect likelihoodMILE

Mathematics Subject Classification ID

Density estimation (62G07) Nonparametric estimation (62G05) Applications of statistics (62P99) Applications of statistics to physics (62P35)

Related Items (10)

Penalized logspline density estimation using total variation penalty ⋮ Adaptive log-density estimation ⋮ Linear inverse problems for Markov processes and their regularisation ⋮ Logspline density estimation for binned data ⋮ B-splines and discretization in an inverse problem for Poisson processes ⋮ Multiplicative censoring: Density estimation by a series expansion approach ⋮ Log-density Deconvolution by Wavelet Thresholding ⋮ Convergence rates for logspline tomography ⋮ Optimal spherical deconvolution ⋮ A note on quasi-maximum likelihood solutions to an inverse problem for Poisson processes.

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