References
- Chen, Z. J. 2016. Strong laws of large numbers for sub-linear expectations. Science China Mathematics 46 (5):7529–45.
- Chow, Y. S. 1988. On the rate of moment convergence of sample sums and extremes. Bulletin of the Institute of Mathematics Academia Sinica 16 (3):177–201.
- Hsu, P. L., and H. Robbins. 1947. Complete Convergence and the Law of Large Numbers. Proceedings of the National Academy of Sciences of the United States of America 33 (2):25. doi: 10.1073/pnas.33.2.25.
- Hu, C., S. Datta, and H. L. Koul. 2016. A strong law of large numbers for sub-linear expectation under a general moment condition. Statistics & Probability Letters 119:248–58. doi: 10.1016/j.spl.2016.08.015.
- Peng, S. 1997. BSDE and related g-expectation. Pitman Research Notes in Mathematics Series 364: 141–59.
- Peng, S. 2006. G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Itô Type. Stochastic Analysis & Applications 2 (4):541–67.
- Peng, S. 2008. Multi-dimensional G-Brownian motion and related stochastic calculus under G-expectation. Stochastic Processes and Their Applications 118 (12):2223–53. doi: 10.1016/j.spa.2007.10.015.
- Peng, S. 2009. Survey on normal distributions, central limit theorem, Brownian motion and the related stochastic calculus under sublinear expectations. Science in China Series A: Mathematics 52 (7):1391–411. doi: 10.1007/s11425-009-0121-8.
- Peng, S. 2012. A new central limit theorem under sublinear expectations. Science China Mathematics 53 (8):1989–94. doi: 10.1007/s11425-010-3156-y.
- Qiu, D. H., and P. Y. Chen. 2014. Complete moment convergence for i.i.d. random variables. Statistics & Probability Letters 91 (1):76–82. doi: 10.1016/j.spl.2014.04.001.
- Wang, X. J. 2012. Complete convergence and complete moment convergence for a class of random variables. Journal of Inequalities & Applications 2012 (1):229.
- Wang, X. J., Y. Wu, S. H. Hu., N. Ling. 2018. Complete moment convergence for negatively orthant dependent random variables and its applications in statistical models. Statistical Papers 2018 (1–2):1–34.
- Wu, Y., Y. Ding, X. J. Wang, and W. Y. Chen. 2017. Complete moment convergence for arrays of rowwise extended negatively dependent random variables. Journal of Mathematical Inequalities 11 (4):1031–48.
- Wu, Q. Y., and Y. Y. Jiang. 2016. Complete convergence and complete moment convergence for negatively associated sequences of random variables. Journal of Inequalities & Applications 2016 (1):1–10.
- Wu, Q. Y., and Y. Y. Jiang. 2017. Strong law of large numbers and Chover’s law of the iterated logarithm under sub-linear expectations. Journal of Mathematical Analysis & Applications 460 (1):252–70. doi: 10.1016/j.jmaa.2017.11.053.
- Wu, Y. F., and G. J. Shen. 2013. Complete moment convergence for arrays of rowwise negatively associated random variables. Chinese Quarterly Journal of Mathematics 108 (4):510–21.
- Zhang, L. X. 2016b. Exponential inequalities under the sub-linear expectations with applications to laws of the iterated logarithm. Science China Mathematics 59 (12):2503–26. doi: 10.1007/s11425-016-0079-1.
- Zhang, L. X. 2016a. Rosenthal’s inequalities for independent and negatively dependent random variables under sub-linear expectations with applications. Science China Mathematics 59 (4):751–68. doi: 10.1007/s11425-015-5105-2.
- Zhang, L. X. 2016c. Strong limit theorems for extended independent and extended negatively dependent random variables under non-linear expectations. arXiv Preprint arXiv 1608:00710.
- Zhong, H. Y., and Q. Y. Wu. 2017. Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation. Journal of Inequalities & Applications 2017 (1):261.