Statistics for Poisson models of overlapping spheres

Abstrakt

We propose a family of nonparametric estimators for the radius distribution in stationary Boolean with spherical grains. These estimators are based on observed distances and radii, weighted in an appropriate waz.

The asymptotic properties of the estimators are studied.

Klíčová slova

• stochastic geometry
• Boolean model
• nonparametric estimation
• asymptotic normality