Li-Xin Zhang

activity

20062026

most citedRosenthal's inequalities for independent and negatively dependent random variables under sub-linear expectations with applications

170 citations · 897 across the 35 of their papers we have counts for

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Showing 2019 · math.PRShow all

2 papers · 2 filters

math.PR2019

Functional central limit theorems for random vectors under sub-linear expectations

Li-Xin Zhang

The central limit theorem of martingales is the fundamental tool for studying the convergence of stochastic processes. The central limit theorem and functional central limit theore…

math.PR2019★ 32 cited

The convergence of the sums of independent random variables under the sub-linear expectations

Li-Xin Zhang

Let ${X_{n}; n \geq 1}$ be a sequence of independent random variables on a probability space $(Ω, F, P)$ and $S_{n} = \sum_{k = 1}^{n} X_{k}$ . It is well-known that the almost sure co…