[1] PENG S. G-expectation, g-brownian motion and related stochastic calculus of ito type[J]. Stochastic Analysis & Applications, 2006, 2(4),541-567. [2] PENG S. Multi-dimensional g-brownian motion and related stochastic calculus under g-expectation[J]. Stochastic Processes & Their Applications, 2008, 118(12): 2223-2253. [3] PENG S. A new central limit theorem under sublinear expectations[J]. Mathematics, 2008, 53(8): 1989-1994. [4] ZHANG L X. Strong limit theorems for extended independent and extended negatively dependent random variables under non-linear expectations[DB/OL]. arXiv.ORG: 1608.00710, 2016. [5] ZHANG L X. Rosenthals inequalities for independent and negatively dependent random variables under sub-linear expectations with applications[J]. Science China Mathematics, 2016, 59(4): 751-768. [6] ZHANG L X. Self-normalized moderate deviation and laws of the iterated logarithm under G-Expectation[J]. Communications in Mathematics and Statistics, 2016, 4(2): 229-263. [7] ZHANG L X. Exponential inequalities under the sub-linear expectations with applications to laws of the iterated[J]. Science China Mathematics, 2016, 59(12): 2503-2526. [8] 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 and Applications, 2018,460(1):252-270. [9] HSU P L, ROBBINS H. Complete convergence and the law of large numbers[J]. Proceedings of the National Academy of Sciences of the United States of America, 1947, 33(2): 25-31. [10] SUNG S H. On the strong convergence for weighted sums of random variables[J]. Statistical Papers, 2011, 52(2): 447-454.
[11] CAI G H. Strong laws for weighted sums of NA random variables[J]. Metrika, 2008, 68(3): 323-331. [12] WU Q, JIANG Y. Complete convergence and complete moment convergence for negatively associated sequences of random variables[J]. Journal of Inequalities & Applications, 2016, 2016:157.
[13] HUANG H, PENG J, WU X, et al. Complete convergence and complete moment convergence for arrays of rowwise ANA random variables[J]. Journal of Inequalities & Applications,2016, 2016:72.
[14] SHEN A, XUE M, WANG W. Complete convergence for weighted sums of extended negatively dependent random variables[J]. Communications in Statistics: Theory and Methods,2017, 46(3): 1433-1444. [15] HUANG H, WANG D. A note on the strong limit theorem for weighted sums of sequences of negatively dependent random variables[J]. Journal of Inequalities & Applications, 2012, 2012:233. [16] DENIS L, HU M, PENG S. Function spaces and capacity related to a sublinear expectation: Application to g-brownian motion paths[J].Potential Analysis,2011, 34(2): 139-161.
() ( |