The convergence rate for the laws of logarithms under sub-linear expectations

作者：Wu, Qunying^*

来源：AIMS Mathematics, 2023, 8(10): 24786-24801.

DOI：10.3934/math.20231264

• sub-linear expectation
• convergence rate
• laws of logarithms
• law of the iterated logarithm

Let {X-n; n >= 1} be a sequence of independent and identically distributed random variables in a sub-linear expectation space (Omega, H, (E) over cap). The necessary and su fficient conditions for the convergence rate on the laws of the logarithms and the law of the iterated logarithm are obtained.

• 单位
  桂林理工大学