Bibliographic Details
| Title: |
Limit theorems: some recent results. |
| Authors: |
Colombani, Laetitia1 (AUTHOR) laetitia.colombani.math@gmail.com, Durieu, Olivier2 (AUTHOR) olivier.durieu@univ-tours.fr, Giraudo, Davide3 (AUTHOR) dgiraudo@unistra.fr, Pilipauskaite, Vytaute4 (AUTHOR) vytaute.pilipauskaite@gmail.com, Reding, Lucas5 (AUTHOR) lucas.reding@uphf.fr |
| Source: |
ESAIM: Proceedings & Surveys. 2025, Vol. 80, p26-50. 25p. |
| Subjects: |
Limit theorems, Computer network traffic, Random fields, U-statistics, Central limit theorem |
| Abstract (English): |
The article presents a series of recent results in the field of limit theorems which allow to appreciate the richness of this theme. These results include: the study of the asymptotic behaviour of cumulative processes with applications to Hawkes processes; maximal inequalities and functional central limit theorems for U-statistics; scaling limits for network traffic models that reveal a scaling transition phenomenon; central limit theorems for weakly dependent stationary random fields. [ABSTRACT FROM AUTHOR] |
| Abstract (French): |
Cet article présente une série de résultats récents sur le thème des théorèmes limites qui permettent d'apprécier la richesse de la thématique. Les résultats présentés regroupent : l'étude du comportement asymptotique des processus cumulatifs avec des applications aux processus de Hawkes; des inégalités maximales et des théorèmes limites centraux fonctionnels pour des U-statistiques; des limites d'échelles pour des modèles de trafic de réseau révélant un phénomène de transition d'échelle; des théorèmes limites centraux pour des champs aléatoires stationnaires faiblement dépendants. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
