Strong limit theorems for arbitrary stochastic sequences

被引：7
作者：
Yang, Weiguo [1 ]
机构：
[1] Jiangsu Univ, Fac Sci, Inst Math, Zhenjiang 212013, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 326卷 / 02期
基金：
中国国家自然科学基金;
关键词：
strong law of large numbers; stochastic sequences; martingale difference sequences;
D O I：
10.1016/j.jmaa.2006.02.083
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish two strong limit theorems for arbitrary stochastic sequences. As corollaries, we generalize some known results. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：1445 / 1451
页数：7
相关论文
共 50 条
  • [31] Limit theorems for multidimensional renewal sets
    A. Ilienko
    I. Molchanov
    Acta Mathematica Hungarica, 2018, 156 : 56 - 81
  • [32] Limit theorems for functions of marginal quantiles
    Babu, G. Jogesh
    Bai, Zhidong
    Choi, Kwok Pui
    Mangalam, Vasudevan
    BERNOULLI, 2011, 17 (02) : 671 - 686
  • [33] Limit theorems for Parrondo's paradox
    Ethier, S. N.
    Lee, Jiyeon
    ELECTRONIC JOURNAL OF PROBABILITY, 2009, 14 : 1827 - 1862
  • [34] LIMIT THEOREMS FOR GENERALIZED RENEWAL PROCESSES
    Bulinskaya, E. V.
    Sokolova, A. I.
    THEORY OF PROBABILITY AND ITS APPLICATIONS, 2018, 62 (01) : 35 - 54
  • [35] Limit theorems for multidimensional renewal sets
    Ilienko, A.
    Molchanov, I.
    ACTA MATHEMATICA HUNGARICA, 2018, 156 (01) : 56 - 81
  • [36] A Strong Limit Theorem for Sequences of Blockwise and Pairwise Negative Quadrant M-Dependent Random Variables
    Vu Thi Ngoc Anh
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (01) : 159 - 164
  • [37] The complexity of stochastic sequences
    Merkle, Wolfgang
    JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2008, 74 (03) : 350 - 357
  • [38] Twister Generator of Arbitrary Uniform Sequences
    Deon, Aleksei F.
    Menyaev, Yulian A.
    JOURNAL OF UNIVERSAL COMPUTER SCIENCE, 2017, 23 (04) : 353 - 384
  • [39] Limit theorems for identically distributed martingale difference
    Miao, Yu
    Mu, Jianyong
    Zhang, Shuili
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2020, 49 (06) : 1435 - 1445
  • [40] Limit theorems for fuzzy-random variables
    Kraetschmer, Volker
    FUZZY SETS AND SYSTEMS, 2002, 126 (02) : 253 - 263
12345