Some results on probabilities of moderate deviations

Deli Li, Yu Miao, Yongcheng Qi

Let $\{X,X_n;n\ge 1\}$ be a sequence of i.i.d. non-degenerate real-valued random variables with $\mathbb{E}{X}^2<\infty$. Let $S_n={\sum }_{i=1}^n{X}_i$, $n\ge 1$. Le…