Estimating an even spherical measure from its sine transform.

DOI10.1007/s10492-009-0005-9zbMath1211.62092OpenAlexW2024818199MaRDI QIDQ993288

Lars Michael Hoffmann

Publication date: 10 September 2010

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/37808

zbMATH Keywords

Poisson processleast squares estimatorBoolean modeldirectional distributionconvex cylinder

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Inference from spatial processes (62M30) Geometric probability and stochastic geometry (60D05) Algorithms for approximation of functions (65D15) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Cites Work

• Anisotropic Poisson processes of cylinders
• Mixed measures of convex cylinders and quermass densities of Boolean models
• Convergence of algorithms for reconstructing convex bodies and directional measures
• Non-parametric estimation of the directional distribution of stationary line and fibre processes
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