Autor:	Chen, Zaoli, Kulik, Rafał
Rok vydání:	2023
Předmět:	Mathematics - Statistics Theory
Druh dokumentu:	Working Paper
Popis:	We consider disjoint and sliding blocks estimators of cluster indices for multivariate, regularly varying time series in the Peak-over-Threshold framework. We aim to provide a complete description of the limiting behaviour of these estimators. This is achieved by a precise expansion for the difference between the sliding and the disjoint blocks statistics. The rates in the expansion stem from internal clusters and boundary clusters. To obtain these rates we need to extend the existing results on vague convergence of cluster measures. We reveal dichotomous behaviour between small blocks and large blocks scenario. Comment: 52 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.03163 Zobrazit plný text záznamu View this record from Arxiv