In this paper,some laws of large numbers are established for random variables that satisfy the Pareto distribution,so that the relevant conclusions in the traditional probability space are extended to the sub-linear e...In this paper,some laws of large numbers are established for random variables that satisfy the Pareto distribution,so that the relevant conclusions in the traditional probability space are extended to the sub-linear expectation space.Based on the Pareto distribution,we obtain the weak law of large numbers and strong law of large numbers of the weighted sum of some independent random variable sequences.展开更多
基金AcknowledgmentssThe authors thank the National Natural Science Foundation of China(Grant No.12061028)Guangxi Natural Science Foundation Joint Incubation Project(Grant No.2018GXNSFAA294131)+1 种基金Guangxi Natural Science Foundation(Grant No.2018G XNSFAA281011)Innovation Project of Guangxi Graduate Education(Grant No.YCSW2020175)for their financial support。
文摘In this paper,some laws of large numbers are established for random variables that satisfy the Pareto distribution,so that the relevant conclusions in the traditional probability space are extended to the sub-linear expectation space.Based on the Pareto distribution,we obtain the weak law of large numbers and strong law of large numbers of the weighted sum of some independent random variable sequences.
