A Class of Strong Limit Theorems for Random Field with Geometric Distributions Indexed by a Homogeneous Tree

被引：0

作者：

Wang, Kang Kang ^{[1
]}

机构：

[1] Jiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Peoples R China

来源：

THAI JOURNAL OF MATHEMATICS | 2016年 / 14卷 / 01期

关键词：

the homogeneous tree; random field; the geometric distribution; nonnegative martingale; strong limit theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish some strong limit theorem for the random field which obeys the geometric distributions indexed by the homogeneous tree by constructing the consistent distribution and a nonnegative martingale with pure analytical methods. As corollaries, a limit theorem for the sequence of random variables with the geometric distributions is extended.

引用

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页码：181 / 190

页数：10

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