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

chapter 1|14 pages

Generalities on Probability

chapter 2|20 pages

Some Random Sets in Statistics

chapter 3|36 pages

Finite Random Sets

chapter 5|22 pages

Random Closed Sets

chapter 6|26 pages

The Choquet Integral

chapter 7|26 pages

Choquet Weak Convergence