5 papers · 1 filter
Limit theorems for strongly and intermediately supercritical branching processes in Markovian environment with linear fractional offspring distributions
Yinna Ye
In this paper, we study the asymptotic behaviour for distribution of supercritical branching process in a Markovian environment with linear fractional offspring distributions. A ph…
Convergence rate of Euler--Maruyama scheme to the invariant probability measure under total variation distance for the SDEs
Yuke Wang, Yinna Ye
This article shows the geometric decay rate of Euler-Maruyama scheme for one-dimensional stochastic differential equation towards its invariant probability measure under total vari…
From law of the iterated logarithm to Zolotarev distance for supercritical branching processes in random environment
Yinna Ye
Consider a supercritical branching process in an independent and identically distributed environment. Based on some recent development in martingale limit theory,…
Wasserstein- distance and nonuniform Berry-Esseen bound for a supercritical branching process in a random environment
Hao Wu, Xiequan Fan, Zhiqiang Gao +1
Let be a supercritical branching process in an independent and identically distributed random environment. We establish an optimal convergence rate in the Was…
Upper bound for the tail functions of the growth rate for supercritical branching processes in random environment
Yinna Ye
Suppose that is a supercritical branching process in independent and identically distributed random environment. The right tail function of the scaled growth rate…