Limiting Behavior of the Partial Sum for Negatively Superadditive Dependent Random Vectors in Hilbert Space

Limiting Behavior of the Partial Sum for Negatively Superadditive Dependent Random Vectors in Hilbert Space

In this paper, We study the complete convergence and Lp- convergence for the maximum of the partial sum of negatively superadditive dependent random vectors in Hilbert space. The results extend the corresponding ones of Ko (Ko, 2020) to H-valued negatively superadditive dependent random vectors.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematics (Hidawi) 2020, Vol.2020 (2020), p.1-6
1. Verfasser: Ko, Mi-Hwa
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Hilbert space
Inequality
Mathematical analysis
Mathematics
Random variables
Vectors (mathematics)
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, We study the complete convergence and Lp- convergence for the maximum of the partial sum of negatively superadditive dependent random vectors in Hilbert space. The results extend the corresponding ones of Ko (Ko, 2020) to H-valued negatively superadditive dependent random vectors.
ISSN:2314-4629
2314-4785
DOI:10.1155/2020/8609859