Asymptotically efficient estimation in the Wicksell problem

DOI10.1214/aos/1024691477zbMath0933.62025OpenAlexW2080119014MaRDI QIDQ1307107

B. Ya. Levit, Yuri K. Golubev

Publication date: 20 December 1999

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

Full work available at URL: https://doi.org/10.1214/aos/1024691477

zbMATH Keywords

fractional derivativesWicksell problemkernel density estimatorsHölder classes

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Minimax procedures in statistical decision theory (62C20)

Related Items (5)

Nonparametric bootstrap confidence bands for unfolding sphere size distributions ⋮ Multiscale methods for shape constraints in deconvolution: confidence statements for qualitative features ⋮ A Kiefer-Wolfowitz comparison theorem for Wicksell's problem ⋮ A wavelet method for unfolding sphere size distributions ⋮ Adaptive minimax estimation of a fractional derivative

Cites Work

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• The kernel method for unfolding sphere size distributions
• Isotonic estimation and rates of convergence in Wicksell's problem
• A course on point processes
• Kernel estimation in Wicksell's corpuscle problem
• On a Non-Parametric Analogue of the Information Matrix
• Estimating the Weight Undersize Distribution for the Wicksell problem
• Estimating functionals of particle size distributions
• Convergence of stochastic processes

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