Gnedenko-Raikov's theorem, central limit theory, and the weak law of large numbers

被引：2
|
作者：
Gut, Allan [1 ]
机构：
[1] Univ Uppsala, Dept Math, SE-75106 Uppsala, Sweden
来源：
STATISTICS & PROBABILITY LETTERS | 2006年 / 76卷 / 17期
关键词：
sums of i.i.d. random variables; Gnedenko-Raikov's theorem; domain of attraction; the Kolmogorov-Feller WLLN; slow variation; regular variation;
D O I：
10.1016/j.spl.2006.04.042
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
This note is devoted to the connection between a theorem due to Gnedenko, classical central limit theory, and the weak law of large numbers. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：1935 / 1939
页数：5
相关论文
共 50 条
  • [11] Law of large numbers and central limit theorem under nonlinear expectations
    Peng, Shige
    [J]. PROBABILITY UNCERTAINTY AND QUANTITATIVE RISK, 2019, 4
  • [12] A MULTIVARIATE GNEDENKO LAW OF LARGE NUMBERS
    Fresen, Daniel
    [J]. ANNALS OF PROBABILITY, 2013, 41 (05): : 3051 - 3080
  • [13] LAW OF LARGE NUMBERS AND CENTRAL LIMIT-THEOREM IN BANACH-SPACES
    HOFFMANNJORGENSEN, J
    PISIER, G
    [J]. ANNALS OF PROBABILITY, 1976, 4 (04): : 587 - 599
  • [14] A spatial stochastic epidemic model: law of large numbers and central limit theorem
    Bowong, S.
    Emakoua, A.
    Pardoux, E.
    [J]. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2023, 11 (01): : 31 - 105
  • [15] p-adic analogues of the law of large numbers and the central limit theorem
    Khrennikov, A
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 1997, 8 (01): : 61 - 77
  • [16] LAW OF LARGE NUMBERS AND THE CENTRAL-LIMIT-THEOREM FOR DISTRIBUTIONS ON THE WIENER SPACE
    AMINE, S
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 316 (04): : 381 - 384
  • [17] A spatial stochastic epidemic model: law of large numbers and central limit theorem
    S. Bowong
    A. Emakoua
    E. Pardoux
    [J]. Stochastics and Partial Differential Equations: Analysis and Computations, 2023, 11 : 31 - 105
  • [18] Law of Large Numbers, Central Limit Theorem, and Law of the Iterated Logarithm for Bernoulli Uncertain Sequence
    Qu, Ziyi
    Zong, Zhaojun
    Hu, Feng
    [J]. SYMMETRY-BASEL, 2022, 14 (08):
  • [19] Law of large numbers and central limit theorem for Donsker's delta function of diffusions .1.
    Potthoff, J
    Sundar, P
    [J]. POTENTIAL ANALYSIS, 1996, 5 (05) : 487 - 504
  • [20] NEW PROOFS OF KHINCHIN'S LAW OF LARGE NUMBERS AND LINDEBERG'S CENTRAL LIMIT THEOREM -PDE'S APPROACH
    Meng, Xue
    Gao, Miaomiao
    Hu, Feng
    [J]. MATHEMATICAL FOUNDATIONS OF COMPUTING, 2023, 6 (02): : 190 - 202
12345