Nonparametric inference in a stereological model with oriented cylinders applied to dual phase steel

DOI10.1214/14-AOAS787zbMath1454.62516arXiv1503.01305MaRDI QIDQ2258603

K. S. McGarrity, Geurt Jongbloed, Jilt Sietsma

Publication date: 26 February 2015

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

Full work available at URL: https://arxiv.org/abs/1503.01305

zbMATH Keywords

stochastic modelinggrain size distributionisotonic estimationWicksell's problembanded microstructures

Mathematics Subject Classification ID

Applications of statistics in engineering and industry; control charts (62P30)

Related Items (3)

Smooth estimation of size distributions in an oriented cylinder model ⋮ Stereological determination of particle size distributions for similar convex bodies ⋮ Nonparametric inference in a stereological model with oriented cylinders applied to dual phase steel

Uses Software

• ImageJ

Cites Work

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• Anisotropic Poisson processes of cylinders
• Generalized continuous isotonic regression
• The kernel method for unfolding sphere size distributions
• Isotonic estimation and rates of convergence in Wicksell's problem
• Bootstrap confidence intervals for isotonic estimators in a stereological problem
• Nonparametric inference in a stereological model with oriented cylinders applied to dual phase steel
• Monotone spectral density estimation
• Kernel estimation in Wicksell's corpuscle problem
• Stereological Analysis of Anisotropic Structures Using Directional Statistics
• Stereological estimation of particle size distributions

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