Isotonic inverse estimators for nonparametric deconvolution

DOI10.1214/aos/1024691476zbMath0927.62029OpenAlexW2099176443MaRDI QIDQ1307105

Geurt Jongbloed, A. J. van Es, Martien C. A. Van Zuijlen

Publication date: 14 December 1999

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

Full work available at URL: https://doi.org/10.1214/aos/1024691476

zbMATH Keywords

empirical processconvex minorantisotonic estimationcube root asymptotics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05)

Related Items (15)

Berry-Esseen bounds for Chernoff-type nonstandard asymptotics in isotonic regression ⋮ Adaptive deconvolution of linear functionals on the nonnegative real line ⋮ Laguerre and Hermite bases for inverse problems ⋮ Discussion of nonparametric (smoothed) likelihood and integral equations by Piet Groeneboom ⋮ Bivariate uniform deconvolution ⋮ Estimating the Upper Support Point in Deconvolution ⋮ Decompounding random sums: a nonparametric approach ⋮ A general asymptotic scheme for inference under order restrictions ⋮ Limit properties of the monotone rearrangement for density and regression function estimation ⋮ Low Order Approximations in Deconvolution and Regression with Errors in Variables ⋮ Nonparametric deconvolution of density estimation based on observed sums ⋮ Global rate results for the MLE in a class of deconvolution models ⋮ Estimating a concave distribution function from data corrupted with additive noise ⋮ Consistency of maximum likelihood estimators in a large class of deconvolution models ⋮ Isotonic inverse estimators for nonparametric deconvolution

Cites Work

• On the optimal rates of convergence for nonparametric deconvolution problems
• Simple kernel estimators for certain nonparametric deconvolution problems
• Isotonic inverse estimators for nonparametric deconvolution
• Weak convergence and empirical processes. With applications to statistics
• Exponential deconvolution: two asymptotically equivalent estimators
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