Convergence of exceedance point processes of normal sequences with a seasonal component and its applications

Abstract In this paper, we prove that, under some mild conditions, a time-normalized point process of exceedances by a nonstationary and strongly dependent normal sequence with a seasonal component converges in distribution to the in plane Cox process. As an application of the convergence result, we...

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Bibliographic Details
Main Authors: Yingying Jiang, Baokun Li, Fuming Lin
Format: Article
Language:English
Published: SpringerOpen 2016-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1082-4