Complete convergence for weighted sums of widely negative dependent random variables under the sub-linear expectations

被引:0
作者
Jia, Chengcheng [1 ]
Wu, Qunying [1 ]
机构
[1] Guilin Univ Technol, Coll Sci, Guilin, Peoples R China
基金
中国国家自然科学基金;
关键词
Sub-linear expectation; complete convergence; weighted sums; widely negative dependent; COMPLETE MOMENT CONVERGENCE; G-BROWNIAN MOTION; STOCHASTIC CALCULUS; INEQUALITIES;
D O I
10.1080/03610926.2023.2203283
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
Using different research methods than probability space, this article investigates complete convergence for weighted sums of widely negative dependent random variables under sub-linear expectations. The major findings of this study are expansions of complete convergence for weighted sums of widely orthant-dependent random variables in the standard probability space.
引用
收藏
页码:5018 / 5040
页数:23
相关论文
共 23 条
  • [1] Registration of 'S13-3851C' soybean as a high-yielding conventional cultivar with high oil content and broad disease resistance and adaptation
    Chen, P.
    Shannon, G.
    Scaboo, A.
    Crisel, M.
    Smothers, S.
    Clubb, M.
    Selves, S.
    Vieira, C. C.
    Ali, M. L.
    Lee, D.
    Nguyen, H. T.
    Li, Z.
    Mitchum, M. G.
    Bond, J.
    Meinhardt, C.
    Usovsky, M.
    Li, S.
    Mengistu, A.
    Robbins, R. T.
    [J]. JOURNAL OF PLANT REGISTRATIONS, 2022, 16 (01) : 21 - 28
  • [2] Complete convergence for weighted sums of negatively dependent random variables under the sub-linear expectations
    Feng, Feng-Xiang
    Wang, Ding-Cheng
    Wu, Qun-Ying
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (06) : 1351 - 1366
  • [3] Complete and complete moment convergence for weighted sums of arrays of rowwise negatively dependent random variables under the sub-linear expectations
    Feng, Fengxiang
    Wang, Dingcheng
    Wu, Qunying
    Huang, Haiwu
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2021, 50 (03) : 594 - 608
  • [4] COMPLETE CONVERGENCE AND THE LAW OF LARGE NUMBERS
    HSU, PL
    ROBBINS, H
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1947, 33 (02) : 25 - 31
  • [5] Complete convergence for weighted sums of negatively associated random variables
    Liang, HY
    [J]. STATISTICS & PROBABILITY LETTERS, 2000, 48 (04) : 317 - 325
  • [6] Theorems of complete convergence and complete integral convergence for END random variables under sub-linear expectations
    Liang, Ziwei
    Wu, Qunying
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [7] Complete convergence and strong law of large numbers for arrays of random variables under sublinear expectations
    Lin, Yiwei
    Feng, Xinwei
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2020, 49 (23) : 5866 - 5882
  • [8] Complete and complete integral convergence for weighted sums of arrays of rowwise widely negative dependent random variables under the sub-linear expectations
    Lu, Dawei
    Meng, Yao
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (04) : 1273 - 1286
  • [9] Complete and complete integral convergence for arrays of row wise widely negative dependent random variables under the sub-linear expectations
    Lu, Dawei
    Meng, Yao
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (09) : 2994 - 3007
  • [10] Peng S. G., 2008, MATHPR