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Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space

In this work, some strong convergence theorems are established for weighted sums of coordinatewise negatively associated random vectors in Hilbert spaces. The results obtained in this paper improve and extend the corresponding ones of Huan et al. (Acta Math. Hung. 144(1):132–149, 2014) as well as co...

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Detalles Bibliográficos
Autores principales: Huang, Xiang, Wu, Yongfeng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5899133/
https://www.ncbi.nlm.nih.gov/pubmed/29674840
http://dx.doi.org/10.1186/s13660-018-1678-y
Descripción
Sumario:In this work, some strong convergence theorems are established for weighted sums of coordinatewise negatively associated random vectors in Hilbert spaces. The results obtained in this paper improve and extend the corresponding ones of Huan et al. (Acta Math. Hung. 144(1):132–149, 2014) as well as correct and improve the corresponding one of Ko (J. Inequal. Appl. 2017:290, 2017).