An inequality of widely dependent random variables and its applications*

作者：Chen, Wei; Wang, Yuebao^*; Cheng, Dongya

来源：Lithuanian Mathematical Journal, 2016, 56(1): 16-31.

DOI：10.1007/s10986-016-9301-8

• inequality
• widely dependent
• dominating coefficients
• the strong law of large numbers
• complete convergence
• renewal theorem

In this paper, we prove a more accurate inequality of widely dependent random variables. Based on this inequality, we obtain some limit theorems for widely dependent random variables, which expand ranges of dominating coefficients, thereby expanding scopes of applications of the obtained limit theorems. These limit theorems include the strong law of large numbers, the complete convergence, the a.s. elementary renewal theorem, and the weighted elementary renewal theorem.

• 出版日期2016-1
• 单位伊犁师范大学; 苏州大学