A note on the strong laws of large numbers for random variables

作者：Hu T C^*; Sung S H; Volodin A

来源：Acta Mathematica Hungarica, 2016, 150(2): 412-422.

DOI：10.1007/s10474-016-0650-x

• strong law of large numbers
• Hajek-Renyi maximal inequality
• complete convergence
• rate of convergence

Let be a sequence of random variables and {b (n) , n aeyen 1} a nondecreasing sequence of positive constants. No assumptions are imposed on the joint distributions of the random variables. Some sufficient conditions are given under which almost surely. Necessary conditions for the strong law of large numbers are also given.

• 出版日期2016-12
• 单位清华大学