Title: Limit theorems for unions of random closed sets /
Authors: Molchanov, Ilya S., 1962-
Publisher: Springer-Verlag,
Year: 1994
Subjects: Geometric probabilities.; Limit theorems (Probability theory); Set theory
Contents: 1. Distributions of random closed sets -- 2. Survey on stability of random sets and limit theorems for Minkowski addition -- 3. Infinite divisibility and stability of random sets with respect to unions -- 4. Limit theorems for normalized unions of random closed sets -- 5. Almost sure convergence of unions of random closed sets -- 6. Multivalued regularly varying functions and their application to limit theorems for unions of random sets -- 7. Probability metrics in the space of random sets distributions -- 8. Applications of limit theorems.