13 citations · 34 across the 6 of their papers we have counts for
6 papers
Uniform convergence of conditional distributions for one-dimensional diffusion processes
Guoman He, Hanjun Zhang
In this paper, we study the quasi-stationary behavior of the one-dimensional diffusion process with a regular or exit boundary at 0 and an entrance boundary at . By using t…
On the quasi-ergodic distribution of absorbing Markov processes
Guoman He, Hanjun Zhang, Yixia Zhu
In this paper, we give a sufficient condition for the existence of a quasi-ergodic distribution for absorbing Markov processes. Using an orthogonal-polynomial approach, we prove th…
The criterion for uniqueness of quasi-stationary distributions of Markov processes and their domain of attraction problem
Hanjun Zhang, Pengwen Guo, Yixia Zhu
We consider a Markov process on the nonnegative integers , where is an irreducible class and 0 is an absorbing state. In this paper, we in…
Domain of attraction of quasi-stationary distribution for one-dimensional diffusions
Hanjun Zhang, Guoman He
We study quasi-stationarity for one-dimensional diffusions killed at 0, when 0 is a regular boundary and is an entrance boundary. We give a necessary and sufficient condi…
On quasi-ergodic distribution for one-dimensional diffusions
Guoman He, Hanjun Zhang
In this paper, we study quasi-ergodicity for one-dimensional diffusion killed at 0, when 0 is an exit boundary and is an entrance boundary. Using the spectral theory…
Existence and construction of quasi-stationary distributions for one-dimensional diffusions
Hanjun Zhang, Guoman He
In this paper, we study quasi-stationary distributions (QSDs) for one-dimensional diffusions killed at 0, when 0 is a regular boundary and is a natural boundary. More pre…