On the estimation of the mean density of random closed sets
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Publication:2637603
DOI10.1016/j.jmva.2013.12.003zbMath1280.62042OpenAlexW2065461954MaRDI QIDQ2637603
Elena Villa, Vincenzo Capasso, Federico Camerlenghi
Publication date: 13 February 2014
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmva.2013.12.003
Density estimation (62G07) Geometric probability and stochastic geometry (60D05) Length, area, volume, other geometric measure theory (28A75)
Related Items (4)
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
Uses Software
Cites Work
- On the approximation of mean densities of random closed sets
- Kernel density estimation via diffusion
- Stochastic geometric models, and related statistical issues in tumour-induced angiogenesis
- Outer Minkowski content for some classes of closed sets
- Stochastic modelling of tumour-induced angiogenesis
- Smoothing techniques. With implementation in S
- An introduction to the theory of point processes
- A local Steiner-type formula for general closed sets and applications
- General asymptotic confidence bands based on kernel-type function estimators
- On estimation of Poisson intensity functions
- Mathematical modelling for polymer processing. Polymerization, crystallization, manufacturing
- Consistent estimation of the intensity function of a cyclic Poisson process.
- Smoothing methods in statistics
- On estimation of the intensity function of a point process
- Bandwidth selection: Classical or plug-in?
- Density estimation
- Remarks on Some Nonparametric Estimates of a Density Function
- Curvature Measures
- Mesoscale Averaging of Nucleation and Growth Models
- On the Geometric Densities of Random Closed Sets
- Mean Densities and Spherical Contact Distribution Function of Inhomogeneous Boolean Models
- ON MEAN DENSITIES OF INHOMOGENEOUS GEOMETRIC PROCESSES ARISING IN MATERIAL SCIENCE AND MEDICINE
- A Kernel Method for Smoothing Point Process Data
- One-sided multifractal analysis and points of non-differentiability of devils staircases
- Stochastic geometry and related statistical problems in biomedicine
- INTENSITY ESTIMATION OF STATIONARY FIBRE PROCESSES FROM DIGITAL IMAGES WITH A LEARNED DETECTOR
- On the Continuity and Absolute Continuity of Random Closed Sets
- On Estimation of a Probability Density Function and Mode
- Computer vision. Algorithms and applications
- Random processes of Hausdorff rectifiable closet sets
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