De-Li Li

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20102022

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math.PR2022

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…

math.PR2014

A Characterization of Chover-Type Law of Iterated Logarithm

Deli Li, Pingyan Chen

Let $0 < α \leq 2$ and $- \infty < β < \infty$ . Let ${X_{n}; n \geq 1}$ be a sequence of independent copies of a real-valued random variable $X$ and set $S_{n} = X_{1} + \cdots +…

math.PR2010

A Refinement of the Kolmogorov-Marcinkiewicz-Zygmund Strong Law of Large Numbers

Deli Li, Yongcheng Qi, Andrew Rosalsky

For the partial sums formed from a sequence of i.i.d. random variables having a finite absolute p'th moment for some p in (0,2), we extend the recent and striking discovery of Hech…