Abstract
This paper considers the effect of a state dependent immigration component on the subcritical Galton-Watson branching process. Geometric ergodicity is obtained under fairly mild conditions. In addition, when the dependence is of the simplest kind proposed here and the immigration distribution is of a form “closely allied” to the offspring distribution, consideration is given to obtaining asymptotic expressions for the n-step transition probabilities.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
