[1] PENG S. Multi-dimensional G-Brownian motion and related stochastic calculus under G-expectation[J]. Stochastic Process, 2008, 118(12): 2223-2253. [2] PENG S. A new central limit theorem under sub-linear expectations[EB/OL]. [2018-03-01] https://arxiv.org/abs/0803.2656.
[3] ZHANG L X. Strong limit theorems for extended independent and extended negatively dependent random variables under non-linear expectations[EB/OL]. [2018-03-01] https://arxiv.org/abs/ 1608.00710.
[4] ZHANG L X. Exponential inequalities under sub-linear expectations with applications to laws of the iterated logarithm[J]. Science China, 2014, 59(12):2503-2526. [5] ZHANG L X. Rosenthal’s inequalities for independent and negatively dependent random variables under sub-linear expectations with applications[J]. Science China, 2016, 59(4):751-768. [6] WU Q, JIANG Y. Strong law of large numbers and Chover’s law of the iterated logarithm under sub-linear expectations[J]. Journal of Mathematical Analysis & Applications, 2018, 460(1): 252-270. [7] HU C, DATTA S, KOUL H L. A strong law of large numbers for sub-linear expectation under a general moment condition[J]. Statistics & Probability Letters, 2016, 119: 248-258. [8] WU Q. Complete convergence for negatively dependent sequences of random variables[J]. Journal of Inequalities & Applications, 2010, 2010(1):1-10. [9] WU Q. A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables[J]. Journal of Inequalities & Applications, 2012, 2012(1): 1-10. [10] 孟兵, 吴群英. ND阵列加权乘积和的完全收敛性[J]. 纯粹数学与应用数学, 2010, 26(1):84-90. MENG Bing, WU Qunying. Complete convergence for weighted sums of arrays of ND random variables[J]. Pure and Applied Mathematics, 2010, 26(1):84-90. [11] 甘师信, 陈平炎. NOD序列加权和的强收敛速度[J]. 数学物理学报, 2008, 28(2):283-290. GAN Shixin, CHEN Pingyan. Strong convergence rate of weighted sums for NOD sequences[J]. Acta Mathematica Scientia, 2008, 28(2):283-290. [12] ZHONG H, WU Q. Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation[J]. Journal of Inequalities & Applications, 2017, 2017(1): 261.
() () |