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
下载
收藏
页码：181 / 190
页数：10
相关论文
共 50 条
  • [31] Functional limit theorems for U-statistics indexed by a random walk
    Cabus, P
    Guillotin-Plantard, N
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2002, 101 (01) : 143 - 160
  • [32] Functional limit theorems for U-statistics indexed by a random walk
    Cabus, P
    Guillotin-Plantard, N
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 331 (11): : 905 - 910
  • [33] ARITHMETIC AND LIMIT THEOREMS FOR A CLASS OF RANDOM VARIABLES
    HEWITT, E
    ZUCKERMAN, HS
    DUKE MATHEMATICAL JOURNAL, 1955, 22 (04) : 595 - 615
  • [34] Some Strong Limit Theorems for Markov Chains of Continuous State Space on a Non-homogeneous Tree
    Jin Shao-hua
    Yan Lu
    Ding Chong-guang
    Chen Wen-feng
    ICICTA: 2009 SECOND INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTATION TECHNOLOGY AND AUTOMATION, VOL IV, PROCEEDINGS, 2009, : 267 - 270
  • [35] Strong Limit Theorems for Pairwise NQD Random Variables
    Sung, Soo Hak
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2013, 42 (21) : 3965 - 3973
  • [36] Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees
    Weicai Peng
    Jie Liu
    Yongchao Hou
    Peishu Chen
    Jueping Bu
    Journal of Inequalities and Applications, 2016
  • [37] Strong limit theorems for anisotropic random walks on ℤ2
    Endre Csáki
    Miklós Csörgő
    Antónia Földes
    Pál Révész
    Periodica Mathematica Hungarica, 2013, 67 : 71 - 94
  • [38] Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees
    Peng, Weicai
    Liu, Jie
    Hou, Yongchao
    Chen, Peishu
    Bu, Jueping
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, : 1 - 9
  • [39] LIMIT THEOREMS FOR DISTRIBUTIONS OF SUMS OF A RANDOM NUMBER OF RANDOM-VARIABLES
    SZASZ, D
    ANNALS OF MATHEMATICAL STATISTICS, 1972, 43 (06): : 1902 - 1913
  • [40] LIMIT THEOREMS FOR DISTRIBUTIONS OF SUMS OF A RANDOM NUMBER OF RANDOM-VARIABLES
    SZASZ, D
    ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (06): : 2198 - &
12345