Set-Valued Estimators for Mean Bodies Related to Boolean Models

Abstract

The stationary Boolean model in the Euclidean space with a convex typical grain is considered. Relations between the mean (or the Aumann expectation) of the difference body of the grain and other characteristics of the Boolean model are discussed, and set-valued estimators for the mean difference body are suggested.

Keywords:

• Random sets
• Boolean models
• Aumann expectation
• mean body
• linear contact distribution function
• intensity estimator