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

collaborators

35 papers

math.PR2026

Limit Laws of the Iterated Logarithm Under Sub-linear Expectations

Li-Xin Zhang, Yongsheng Song

Let be a sequence of independent and identically distributed random variables with mean zero in Peng's framework of the sub-linear expectation space $(Ω,\mathscr{…

math.ST2023★ 1 cited

Asymptotic Properties of Multi-Treatment Covariate Adaptive Randomization Procedures for Balancing Observed and Unobserved Covariates

Li-Xin Zhang

Applications of CAR for balancing continuous covariates remain comparatively rare, especially in multi-treatment clinical trials, and the theoretical properties of multi-treatment…

math.PR2022

Strassen's law of the iterated logarithm under sub-linear expectations

Wang-yun Gu, Li-xin Zhang

We establish the Strassen's law of the iterated logarithm for independent and identically distributed random variables with and $C_…

math.PR2022★ 3 cited

Convergence of randomized urn models with irreducible and reducible replacement policy

Li-Xin Zhang

Generalized Friedman urn is one of the simplest and most useful models considered in probability theory. Since Athreya and Ney (1972) showed the almost sure convergence of urn prop…

math.PR2022

The moments of the maximum of normalized partial sums related to laws of the iterated logarithm under the sub-linear expectation

Li-Xin Zhang

Let be a sequence of independent and identically distributed random variables on a sub-linear expectation space , $S_n=X_1+\ld…

math.PR2022

A note on the cluster set of the law of the iterated logarithm under sub-linear expectations

Li-Xin Zhang

In this note, we establish a compact law of the iterated logarithm under the upper capacity for independent and identically distributed random variables in a sub-linear expectation…