A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences

A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences

Abstract We prove some almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences under some mild conditions. The results extend the ASCLT to nonstationary Gaussian vector sequences and give substantial improvements for the weight sequence obtaine...

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Bibliographic Details
Main Authors: Xiang Zeng, Qunying Wu
Format: Article
Language:English
Published: SpringerOpen 2016-06-01
Series:Journal of Inequalities and Applications
Subjects:
almost sure central limit theorem
strongly dependent nonstationary Gaussian vector sequences
weight sequence
Online Access:http://link.springer.com/article/10.1186/s13660-016-1096-y

Internet

http://link.springer.com/article/10.1186/s13660-016-1096-y

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