3 problems

Let $\{Y_n\}$ be the independent and identically distributed sequence considered in Theorem 2(b), and let $T_n=\sum_{i=1}^nY_i$. The theorem's displayed relation (2.5) involves the…

Let $\{Y_n;n\ge1\}$ be the original sequence of independent and identically distributed random variables considered in Theorem 2(b), and let $\widetilde Y_n$ denote its copy used i…

Let $\{Y_n;n\ge1\}$ be independent and identically distributed random variables in a sub-linear expectation space, and let $T_n=\sum_{i=1}^nY_i$ and $d_n=\sqrt{2n\log\log n}$. Writ…