10 citations · 13 across the 10 of their papers we have counts for
10 papers
Characterization of fixed points of infinite-dimensional generating functions
Jiangrui Tan, Mei Zhang
This paper is concerned with the characterizations of fixed points of the generating function of branching processes with countably infinitely many types. We assume each particle o…
Limit theorems for the critical Galton-Watson processes with immigration stopped at zero
Doudou Li, Mei Zhang, Xianyu Zhang
In this paper, we consider a critical Galton-Watson branching process with immigration stopped at zero . Some precise estimation on the generation function of the -t…
Harmonic moments and large deviations for a critical Galton-Watson process with immigration
Doudou Li, Mei Zhang
In this paper, a critical Galton-Watson branching process with immigration is studied. We first obtain the convergence rate of the harmonic moment of . Then the larg…
Subcritical branching processes in random environment with immigration stopped at zero
Doudou Li, Vladimir Vatutin, Mei Zhang
We consider subcritical branching processes with immigration which evolve under the influence of a random environment and study the tail distribution of life periods of such proces…
Branching processes in random environment with immigration stopped at zero
Elena Dyakonova, Doudou Li, Vladimir Vatutin +1
A critical branching process with immigration which evolve in a random environment is considered. Assuming that immigration is not allowed when there are no individuals in the abor…
A note on the critical barrier for the survival of stable branching random walk with absorption
Jingning Liu, Mei Zhang
We consider a branching random walk with an absorbing barrier, where the step of the associated one-dimensional random walk is in the domain of attraction of an -stable law with…
The Minimal Position of a Stable Branching Random Walk
Jingning Liu, Mei Zhang
In this paper, a branching random walk in the boundary case is studied, where the associated one dimensional random walk is in the domain of attraction of an stable la…
Asymptotic Behaviors for Critical Branching Processes with Immigration
Doudou Li, Mei Zhang
In this paper, we investigate the asymptotic behaviors of the critical branching process with immigration . First we get some estimation for the probability genera…
On Seneta-Heyde Scaling for a stable branching random walk
Hui He, Jingning Liu, Mei Zhang
We consider a discrete-time branching random walk in the boundary case, where the associated random walk is in the domain of attraction of an -stable law with . We prove…
On approximation of Markov binomial distributions
Aihua Xia, Mei Zhang
For a Markov chain with the state space , the random variable is said to follow a Markov binomial distribution. The e…