170 citations · 897 across the 35 of their papers we have counts for
26 papers · 1 filter
Strong Invariance Principle for Random Dirichlet Series
Li-Xin Zhang
It is shown that the random prime Dirichlet series can be almost surely approximated by a Brownian motion, where $ \{ξ_p\}_{p\…
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{…
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_…
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…
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…
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…