Limit Theorems for Unions of Random Closed Sets
The book concerns limit theorems and laws of large numbers for scaled unionsof independent identically distributed random sets. These results generalizewell-known facts from the theory of extreme values. Limiting distributions (called union-stable) are characterized and found explicitly for many exa...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in mathematics
1561 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Limit theorems for unions of random closed sets, Ilya S. Molchanov, 1993, Berlin, Springer, 1 volume (X-157 pages), Lecture notes in mathematics, 3-540-57393-3 • Limit Theorems for Unions of Random Closed Sets, Texte imprimé, 9783662165720 |
Taula de continguts:
- Distributions of random closed sets
- Survey on stability of random sets and limit theorems for Minkowski addition
- Infinite divisibility and stability of random sets with respect to unions
- Limit theorems for normalized unions of random closed sets
- Almost sure convergence of unions of random closed sets
- Multivalued regularly varying functions and their applications to limit theorems for unions of random sets
- Probability metrics in the space of random sets distributions
- Applications of limit theorems.