Local Stereology
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Publication:4379508
DOI10.1142/2926zbMath0909.62087OpenAlexW4240775994MaRDI QIDQ4379508
Publication date: 1 March 1998
Published in: Advanced Series on Statistical Science & Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/2926
exercisescoarea formulageometric probabilitylocal stereologygeometric samplingBlaschke-Petkantschin formulae
Inference from spatial processes (62M30) Geometric probability and stochastic geometry (60D05) Research exposition (monographs, survey articles) pertaining to statistics (62-02) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
Related Items (32)
Rotation Invariant Valuations ⋮ Higher-rank wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices ⋮ Characterization of anisotropic Gaussian random fields by Minkowski tensors ⋮ Rotational Crofton formulae for Minkowski tensors and some affine counterparts ⋮ Estimating Particle Shape and Orientation Using Volume Tensors ⋮ The invariator principle in convex geometry ⋮ Stereological inference on mean particle shape from vertical sections ⋮ Intersections of Poisson \(k\)-flats in constant curvature spaces ⋮ Geometric integral formulas of cylinders within slabs ⋮ Rotational Crofton formulae with a fixed subspace ⋮ Mean surface and volume particle tensors under \(L\)-restricted isotropy and associated ellipsoids ⋮ Geometric tomography and local stereology. ⋮ On mixed quermassintegral for log-concave functions ⋮ Gaussian polytopes: variances and limit theorems ⋮ Local stereology of tensors of convex bodies ⋮ The dual Brunn-Minkowski theory for bounded Borel sets: dual affine quermassintegrals and inequalities ⋮ Wicksell's Problem in Local Stereology ⋮ A rotational integral formula for intrinsic volumes ⋮ On variances of partial volumes of the typical cell of a Poisson-Voronoi tessellation and large-dimensional volume degeneracy ⋮ Expressing intrinsic volumes as rotational integrals ⋮ Stereological Modelling of Random Particles ⋮ Average section functions for star-shaped sets ⋮ A new rotational integral formula for intrinsic volumes in space forms ⋮ Estimates of Loomis-Whitney type for intrinsic volumes ⋮ Volume degeneracy of the typical cell and the chord length distribution for Poisson-Voronoi tessellations in high dimensions ⋮ On the reverse Loomis-Whitney inequality ⋮ A new expression for the density of totally geodesic submanifolds in space forms, with stereological applications ⋮ Surface area deviation between smooth convex bodies and polytopes ⋮ Scaling limits for shortest path lengths along the edges of stationary tessellations ⋮ Uniqueness of the measurement function in Crofton's formula ⋮ A note on the Blaschke-Petkantschin formula, Riesz distributions, and Drury's identity ⋮ Measure of segments which intersect a convex body from rotational formulae
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