Includes Bibliography (247-254) and Index

1. Generalities on probability
2. Some random sets in statistics
3. Finite random sets
4. Random sets and related uncertainty measures
5. Random closed sets
6. The Choquet integral
7. Choquet weak convergence
8. Some aspects of statistical inference with coarse data

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 in science and engineering, and even in the statistics community, the topic is not well known and much of the enormous potential of random sets remains untapped