On the laws of the iterated logarithm with mean-uncertainty under sublinear expectations  

作　　者：Xiaofan Guo Shan Li Xinpeng Li 

机构地区：[1]Research Center for Mathematics and Interdisciplinary Sciences,Shandong University,Qingdao 266237,Shandong,China [2]Frontiers Science Center for Nonlinear Expectations(Ministry of Education),Shandong University,Qingdao 266237,Shandong,China [3]School of Mathematics,Shandong University,Jinan 250100,Shandong,China

出　　处：《Probability, Uncertainty and Quantitative Risk》2022年第1期1-12,共12页概率、不确定性与定量风险（英文）

基　　金：supported by NSF of Shandong Province(Grant No.ZR2021MA018);National Key R&D Program of China(Grant No.2018YFA0703900);NSF of China(Grant No.11601281);the Young Scholars Program of Shandong University.

摘　　要：A new Hartman-Wintner-type law of the iterated logarithm for independent random variables with mean-uncertainty under sublinear expectations is established by the martingale analogue of the Kolmogorov law of the iterated logarithm in classical probability theory.

关 键 词：Law of the iterated logarithm Mean-uncertainty Upper and lower variances Sublinear expectation 

分 类 号：O17[理学—数学]