The kernel method for unfolding sphere size distributions

DOI10.1016/0021-9991(88)90085-XzbMath0637.65148MaRDI QIDQ1098610

Richard L. Smith, Hall, Peter

Publication date: 1988

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

convergencestereologyvariancekernel methodbiaskernel estimatorstereological unfoldingTaylor's method

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Probabilistic methods, stochastic differential equations (65C99)

Related Items (16)

Nonparametric bootstrap confidence bands for unfolding sphere size distributions ⋮ Smooth Plug-in Inverse Estimators in the Current Status Continuous Mark Model ⋮ Poisson inverse problems ⋮ A note on density estimation for Poisson mixtures ⋮ Smooth estimation of size distributions in an oriented cylinder model ⋮ Unfolding sphere size distributions with a density estimator based on Tikhonov regularization ⋮ Using wavelet methods to solve noisy Abel-type equations with discontinuous inputs ⋮ A Kiefer-Wolfowitz comparison theorem for Wicksell's problem ⋮ Theoretical aspects of ill-posed problems in statistics ⋮ A wavelet method for unfolding sphere size distributions ⋮ Nonparametric inference in a stereological model with oriented cylinders applied to dual phase steel ⋮ Estimating the Weight Undersize Distribution for the Wicksell problem ⋮ Particle Sizes from Sectional Data ⋮ The maximum size of the planar sections of random spheres and its application to metallurgy ⋮ Some comments on Wicksell's problem ⋮ Asymptotically efficient estimation in the Wicksell problem

Uses Software

• spatial

Cites Work

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• Error analysis for the stereological estimation of sphere size distribution: Abel type integral equation
• Spatial Statistics: Developments 1980-3, Correspondent Paper
• Sobre la distribucion de los tamaños de corpusculos contenidos en un cuerpo a partir de la distribucion en sus secciones o proyecciones
• A Review of Some Non-parametric Methods of Density Estimation
• Mean squared errors of estimates of a density and its derivatives
• On the Best Obtainable Asymptotic Rates of Convergence in Estimation of a Density Function at a Point
• Nonparametric Probability Density Estimation: I. A Summary of Available Methods

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