On the dimension of the boundary of clumps in a multi-type Boolean model

DOI10.1214/AOS/1032298281zbMath0867.62046OpenAlexW1966600240MaRDI QIDQ1354375

Jörg Polzehl

Publication date: 3 August 1997

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

Full work available at URL: https://doi.org/10.1214/aos/1032298281

zbMATH Keywords

self-similarityroughnessPoisson processesspatial patternBoolean modelsscaling modeldefinition of dimensiondimension of set boundariesestimators of dimensionsuperposition models

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Inference from spatial processes (62M30) Random fields; image analysis (62M40) Applications of statistics (62P99)

Uses Software

• spatial

Cites Work

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• Some results on the behavior and estimation of the fractal dimensions of distributions on attractors
• A consistent approach to least squares estimation of correlation dimension in weak Bernoulli dynamical systems
• Error Analysis and Convergence of Capacity Dimension Algorithms
• Evaluating the fractal dimension of surfaces
• Maximum likelihood estimates of the fractal dimension for random spatial patterns

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