Almost sure functional central limit theorems for multiparameter stochastic processes

被引：0

作者：

Czerebak-Morozowicz, E. B. ^{[1
]}

Rychlik, Z. ^{[2
]}

Urbanek, M. ^{[2
]}

机构：

[1] Rzeszow Tech Univ, Dept Math, PL-35959 Rzeszow, Poland

[2] Marie Curie Sklodowska Univ, Inst Math, PL-20031 Lublin, Poland

来源：

CONDENSED MATTER PHYSICS | 2008年 / 11卷 / 02期

关键词：

almost sure central limit theorem; multiparameter stochastic process; Glivenko-Cantelli type theorem; logarithmic averages;

D O I：

暂无

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We present almost sure central limit theorems for stochastic processes whose time parameter ranges over the d-dimensional unit cube. Our purpose here is to generalize the classic functional central limit theorem of Prokhorov (1956) for such processes. We prove multidimensional analogues of Glivenko-Cantelli type theorems.

引用

页码：371 / 381

页数：11

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