Deli Li

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math.PR2026

Some Results on the Central Limit Theorem for Subsequences in Banach Spaces

Deli Li, Han-Ying Liang

Let ${X, X_{n}; n \geq 1}$ be a sequence of i.i.d. $B$ -valued random variables and set $S_{n} = \sum_{i = 1}^{n} X_{i}, n \geq 1$ . This note is devoted to study the classi…

math.PR2025

Some results on probabilities of moderate deviations

Deli Li, Yu Miao, Yongcheng Qi

Let ${X, X_{n}; n \geq 1}$ be a sequence of i.i.d. non-degenerate real-valued random variables with $E X^{2} < \infty$ . Let $S_{n} = \sum_{i = 1}^{n} X_{i}$ , $n \geq 1$ . Le…