Almost Sure Convergence for the Maximum and the Sum of Nonstationary Guassian Sequences

被引：6

作者：

Zhao, Shengli ^{[1
]}

Peng, Zuoxiang ^{[2
]}

Wu, Songlin ^{[1
]}

机构：

[1] Logist Engn Univ, Dept Fundament Studies, Chongqing 401131, Peoples R China

[2] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

基金：

中国国家自然科学基金;

关键词：

LIMIT-THEOREM;

D O I：

10.1155/2010/856495

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (X-n, n >= 1) be a standardized nonstationary Gaussian sequence. Let M-n = max{X-k, 1 <= k <= n} denote the partial maximum and S-n = Sigma(n)(k-1) X-k for the partial sum with sigma(n) = (Var S-n)(1/2). In this paper, the almost sure convergence of (M-n, S-n/sigma(n)) is derived under some mild conditions.

引用

页数：14

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