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

被引：0

作者：

Xiang Zeng

Qunying Wu

机构：

[1] Guilin University of Technology,College of Science

来源：

Journal of Inequalities and Applications | / 2016卷

关键词：

almost sure central limit theorem; strongly dependent nonstationary Gaussian vector sequences; weight sequence; 60F15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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 obtained by Lin et al. (Comput. Math. Appl. 62(2):635-640, 2011).

引用

共 50 条

[1] A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences
Zeng, Xiang
Wu, Qunying
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[2] Almost sure limit theorems for the maxima of some strongly dependent Gaussian sequences
Lin, Fuming
Fu, Yu
Jiang, Yingying
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (02) : 635 - 640
[3] The almost sure limit theorem for the maxima and minima of strongly dependent Gaussian vector sequences
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[4] The almost sure limit theorem for the maxima and minima of strongly dependent Gaussian vector sequences
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[J]. Extremes, 2012, 15 : 389 - 406
[5] ALMOST SURE LIMIT THEOREM FOR THE MAXIMA OF STRONGLY DEPENDENT GAUSSIAN SEQUENCES
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[J]. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2009, 14 : 224 - 231
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[J]. Journal of Inequalities and Applications, 2015
[7] The improved results in almost sure central limit theorem for the maxima of strongly dependent stationary Gaussian vector sequences
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[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
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[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 367 (01) : 242 - 248
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[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (20) : 7136 - 7147
[10] A note on the almost sure central limit theorems for the maxima and sums
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[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, : 1 - 8

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