An Introduction to Random Sets

The Choquet Theorem and Limit Theorems, a Statistical Inference Framework for Coarse Data A Related Statistical Setting, and a Variational Calculus of Set Functions are examined.

Abstract

The study of random sets is a large and rapidly growing area with connections to many areas of mathematics and applications in widely varying disciplines, from economics and decision theory to biostatistics and image analysis. The drawback to such diversity is that the research reports are scattered throughout the literature, with the result that i