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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Autor*in:	Yingying Jiang [verfasserIn] Baokun Li [verfasserIn] Fuming Lin [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2016

Schlagwörter:	in plane Cox process exceedance point process nonstationary sequences with a seasonal component strongly dependent normal sequences kth maxima

Übergeordnetes Werk:	In: Journal of Inequalities and Applications - SpringerOpen, 2002, (2016), 1, Seite 10
Übergeordnetes Werk:	year:2016 ; number:1 ; pages:10

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1186/s13660-016-1082-4

Katalog-ID:	DOAJ031449042

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topic_facet	in plane Cox process exceedance point process nonstationary sequences with a seasonal component strongly dependent normal sequences kth maxima Mathematics
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container_title	Journal of Inequalities and Applications
authorswithroles_txt_mv	Yingying Jiang @@aut@@ Baokun Li @@aut@@ Fuming Lin @@aut@@
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callnumber-first	Q - Science
author	Yingying Jiang
spellingShingle	Yingying Jiang misc QA1-939 misc in plane Cox process misc exceedance point process misc nonstationary sequences with a seasonal component misc strongly dependent normal sequences misc kth maxima misc Mathematics Convergence of exceedance point processes of normal sequences with a seasonal component and its applications
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topic_title	QA1-939 Convergence of exceedance point processes of normal sequences with a seasonal component and its applications in plane Cox process exceedance point process nonstationary sequences with a seasonal component strongly dependent normal sequences kth maxima
topic	misc QA1-939 misc in plane Cox process misc exceedance point process misc nonstationary sequences with a seasonal component misc strongly dependent normal sequences misc kth maxima misc Mathematics
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title	Convergence of exceedance point processes of normal sequences with a seasonal component and its applications
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title_full	Convergence of exceedance point processes of normal sequences with a seasonal component and its applications
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title_sort	convergence of exceedance point processes of normal sequences with a seasonal component and its applications
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title_auth	Convergence of exceedance point processes of normal sequences with a seasonal component and its applications
abstract	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 deduce two important joint limit distributions for the order statistics.
abstractGer	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 deduce two important joint limit distributions for the order statistics.
abstract_unstemmed	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 deduce two important joint limit distributions for the order statistics.
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title_short	Convergence of exceedance point processes of normal sequences with a seasonal component and its applications
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