Some Limit Theorems for Arbitrary Random Fields with Respect to Geometric Distributions Indexed by a Homogeneous Tree

被引：0

作者：

Wang, Kangkang ^{[1
]}

Zong, Decai ^{[2
]}

机构：

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

[2] Changshu Inst Technol, Coll Comp Sci & Engn, Changshu 215500, Jiangsu, Peoples R China

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2014年 / 38卷 / 04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 a class of strong limit theorem for the arbitrary random field with respect to the product geometric distributions indexed by the homogeneous tree by constructing the consistent distribution functions and a nonnegative martingale with pure analytical methods. As corollaries, some limit properties for the entropy density and the random field which obeys geometric distributions indexed by the homogeneous tree are studied.

引用

页码：573 / 587

页数：15

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