170 citations · 897 across the 35 of their papers we have counts for
Showing 2016 · math.PRShow all
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math.PR2016★ 19 cited
Lindeberg's central limit theorems for martingale like sequences under sub-linear expectations
Li-Xin Zhang
The central limit theorem of martingales is the fundamental tool for studying the convergence of stochastic processes, especially stochastic integrals and differential equations. I…
math.PR2016★ 20 cited
Strong limit theorems for extended independent and extended negatively dependent random variables under non-linear expectations
Li-Xin Zhang
Limit theorems for non-additive probabilities or non-linear expectations are challenging issues which have raised progressive interest recently. The purpose of this paper is to stu…
math.PR2016★ 20 cited
Central Limit Theorems of a Recursive Stochastic Algorithm with Applications to Adaptive Designs
Li-Xin Zhang
Stochastic approximation algorithms have been the subject of an enormous body of literature, both theoretical and applied. Recently, Laruelle and Pagès (2013) presented a link betw…