Almost sure convergence for the maxima of strongly dependent stationary Gaussian vector sequences

In this paper, we prove the almost sure limit theorem of the maxima for a kind of strongly dependent stationary Gaussian vector sequences.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2010-07, Vol.367 (1), p.242-248
Main Authors: Weng, Zhichao, Cao, Lunfeng, Peng, Zuoxiang
Format: Article
Language:English
Subjects:
Almost sure limit theorem
Exact sciences and technology
Mathematical analysis
Mathematics
Maximum
Multivariate Gaussian sequence
Sciences and techniques of general use
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Description
Summary:In this paper, we prove the almost sure limit theorem of the maxima for a kind of strongly dependent stationary Gaussian vector sequences.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2010.01.007