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Homogeneous Branching Processes with Non-Homogeneous Immigration

Author

Listed:
  • Rahimov Ibrahim

    (Retired from Department of Mathematics and Statistics, Zayed University, Dubai, United Arab Emirates)

Abstract

The stationary immigration has a limited effect over the asymptotic behavior of the underlying branching process. It affects mostly the limiting distribution and the life-period of the process. In contrast, if the immigration rate changes over time, then the asymptotic behavior of the process is significantly different and a variety of new phenomena are observed. In this review we discuss branching processes with time non-homogeneous immigration. Our goal is to help researchers interested in the topic to familiarize themselves with the current state of research.

Suggested Citation

  • Rahimov Ibrahim, 2021. "Homogeneous Branching Processes with Non-Homogeneous Immigration," Stochastics and Quality Control, De Gruyter, vol. 36(2), pages 165-183, December.
    • Handle: RePEc:bpj:ecqcon:v:36:y:2021:i:2:p:165-183:n:8
    DOI: 10.1515/eqc-2021-0033
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