Limit theorems for time averages of continuous-state branching processes with immigration

Mariem Abdellatif, Martin Friesen, Peter Kuchling +1

In this work we investigate limit theorems for the time-averaged process ${\left(\frac{1}{t}{\int }_0^t{X}_s^{x}ds\right)}_{t\ge 0}$ where $X^x$ is a subcritical continuous-state branchi…