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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2016-05-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-016-1082-4 |