70 citations · 207 across the 35 of their papers we have counts for
4 papers · 1 filter
Harmonic moments and large deviations for a supercritical branching process in a random environment
Ion Grama, Quansheng Liu, Eric Miqueu
Let be a supercritical branching process in an independent and identically distributed random environment . We study the asymptotic of the harmonic moments $\mathbb{E}\l…
Nonuniform Berry-Esseen bounds for martingales with applications to statistical estimation
Xiequan Fan, Ion Grama, Quansheng Liu
We establish nonuniform Berry-Esseen bounds for martingales under the conditional Bernstein condition. These bounds imply Cramér type large deviations for moderate 's, and are o…
Rate of convergence for polymers in a weak disorder
Francis Comets, Quansheng Liu
We consider directed polymers in random environment on the lattice Z d at small inverse temperature and dimension d 3. Then, the normalized partition function W n is a regula…
Berry-Esseen's bound and Cramér's large deviation expansion for a supercritical branching process in a random environment
Ion Grama, Quansheng Liu, Eric Miqueu
Let be a supercritical branching process in a random environment . We establish a Berry-Esseen bound and a Cramér's type large deviation expansion for …