ALMOST SURE LIMIT THEOREM FOR THE MAXIMA OF STRONGLY DEPENDENT GAUSSIAN SEQUENCES

被引：15

作者：

Lin, Fuming ^{[1
]}

机构：

[1] Sichuan Univ Sci & Engn, Dept Math, Zigong 643000, Sichuan, Peoples R China

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2009年 / 14卷

关键词：

Almost sure central limit theorem; Strongly dependent sequence; Logarithmic average;

D O I：

10.1214/ECP.v14-1461

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, we prove an almost sure limit theorem for the maxima of strongly dependent Gaussian sequences under some mild conditions. The result is an expansion of the weakly dependent result of E. Csaki and K. Gonchigdanzan.

引用

页码：224 / 231

页数：8

共 50 条

[1] The almost sure limit theorem for the maxima and minima of strongly dependent Gaussian vector sequences
Weng, Zhichao
Peng, Zuoxiang
Nadarajah, Saralees
[J]. EXTREMES, 2012, 15 (03) : 389 - 406
[2] The almost sure limit theorem for the maxima and minima of strongly dependent Gaussian vector sequences
Zhichao Weng
Zuoxiang Peng
Saralees Nadarajah
[J]. Extremes, 2012, 15 : 389 - 406
[3] 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
[4] The improved results in almost sure central limit theorem for the maxima of strongly dependent stationary Gaussian vector sequences
Xiang Zeng
Qunying Wu
[J]. Journal of Inequalities and Applications, 2015
[5] The improved results in almost sure central limit theorem for the maxima of strongly dependent stationary Gaussian vector sequences
Zeng, Xiang
Wu, Qunying
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[6] AN ALMOST SURE LIMIT THEOREM FOR THE MAXIMA OF MULTIVARIATE STATIONARY GAUSSIAN SEQUENCES
Chen, Zhicheng
Peng, Zuoxiang
Zhang, Hongyun
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2009, 86 (03) : 315 - 321
[7] Almost sure central limit theorem for the maxima and sums of stationary Gaussian sequences
Tan, Zhongquan
Wang, Yuebao
[J]. JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2011, 40 (03) : 347 - 355
[8] Almost sure central limit theorem for the maxima and sums of stationary Gaussian sequences
Zhongquan Tan
Yuebao Wang
[J]. Journal of the Korean Statistical Society, 2011, 40 : 347 - 355
[9] 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,
[10] A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences
Xiang Zeng
Qunying Wu
[J]. Journal of Inequalities and Applications, 2016

← 1 2 3 4 5 →