Estimating the Weight Undersize Distribution for the Wicksell problem

DOI10.1111/j.1467-9574.1992.tb01345.xzbMath0767.62034OpenAlexW2022814095MaRDI QIDQ4696604

A. W. Hoogendoorn

Publication date: 29 June 1993

Published in: Statistica Neerlandica (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/5919

zbMATH Keywords

smoothingconsistencyasymptotic normalitybandwidthstereologyempirical distributionsparticle size distributionregularization techniquesrandom sectionWicksell's corpuscle problemmean square error optimalitydiameters of circle profilesdistribution of sphere diametersdistribution of weightill posed inverse problemsphericle particlesweight undersize distribution

Mathematics Subject Classification ID

Density estimation (62G07) Nonparametric estimation (62G05) Geometric probability and stochastic geometry (60D05)

Related Items (2)

A wavelet method for unfolding sphere size distributions ⋮ Asymptotically efficient estimation in the Wicksell problem

Cites Work

• Unnamed Item
• A statistical perspective on ill-posed inverse problems (with discussion)
• On the convergence properties of the EM algorithm
• The kernel method for unfolding sphere size distributions
• Kernel estimation in Wicksell's corpuscle problem
• Common Structure of Smoothing Techniques in Statistics
• Cross-Validated Spline Methods for the Estimation of Three-Dimensional Tumor Size Distributions from Observations on Two-Dimensional Cross Sections
• On the histogram as a density estimator:L 2 theory
• A Statistical Model for Positron Emission Tomography
• Estimating functionals of particle size distributions

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