Density deconvolution in the circular structural model

DOI10.1006/jmva.2001.2015zbMath0998.62029OpenAlexW2011587101MaRDI QIDQ697464

Alexander Goldenshluger

Publication date: 17 September 2002

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/76edfaffef7a9f5eaeed99bed3f87dc9b1600bac

zbMATH Keywords

rates of convergenceadaptive estimationdensity deconvolutioncircular structural model

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (11)

Sharp minimaxity and spherical deconvolution for super-smooth error distributions ⋮ Deconvolution with unknown error distribution ⋮ Weyl eigenvalue asymptotics and sharp adaptation on vector bundles ⋮ Semiparametric inference for mixtures of circular data ⋮ Deconvolution of spherical data corrupted with unknown noise ⋮ Adaptive circular deconvolution by model selection under unknown error distribution ⋮ Deconvolving compactly supported densities ⋮ Sharp adaptation for spherical inverse problems with applications to medical imaging ⋮ Tikhonov’s Regularization to the Deconvolution Problem ⋮ Minimax estimation of the noise level and of the deconvolution density in a semiparametric convolution model ⋮ Multiscale density estimation with errors in variables

Cites Work

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• On estimating mixing densities in discrete exponential family models
• Multivariate probability density deconvolution for stationary random processes
• Optimal Rates of Convergence for Deconvolving a Density
• Density Estimation for the Case of Supersmooth Measurement Error

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