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 [J].
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. .
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 [J].
Feng, Feng-Xiang ;
Wang, Ding-Cheng ;
Wu, Qun-Ying .
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 [J].
Feng, Fengxiang ;
Wang, Dingcheng ;
Wu, Qunying ;
Huang, Haiwu .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2021, 50 (03) :594-608
[4]   COMPLETE CONVERGENCE AND THE LAW OF LARGE NUMBERS [J].
HSU, PL ;
ROBBINS, H .
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 [J].
Liang, HY .
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 [J].
Liang, Ziwei ;
Wu, Qunying .
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 [J].
Lin, Yiwei ;
Feng, Xinwei .
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 [J].
Lu, Dawei ;
Meng, Yao .
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 [J].
Lu, Dawei ;
Meng, Yao .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (09) :2994-3007
[10]  
Peng S. G., 2008, MATHPR