On the local approximation of mean densities of random closed sets

DOI10.3150/12-BEJ474zbMath1291.60025arXiv1402.0699MaRDI QIDQ2444657

Elena Villa

Publication date: 10 April 2014

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0699

zbMATH Keywords

stochastic geometryrandom measuremean densityMinkowski contentspecific area

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random measures (60G57)

Related Items (6)

Asymptotic results for multivariate estimators of the mean density of random closed sets ⋮ Optimal bandwidth of the ``Minkowski content-based estimator of the mean density of random closed sets: theoretical results and numerical experiments ⋮ Large and moderate deviations for kernel-type estimators of the mean density of Boolean models ⋮ Asymptotic behavior of mean density estimators based on a single observation: the Boolean model case ⋮ A general formula for the anisotropic outer Minkowski content of a set ⋮ ESTIMATION OF STOCHASTIC VOLATILITY MODELS BY NONPARAMETRIC FILTERING

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