Homogeneous Branching Processes with Non-Homogeneous Immigration

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

Stochastics and Quality Control, 2021, vol. 36, issue 2, 165-183

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.

Keywords: Branching Process With Immigration; Poisson Immigration; Local Limit Theorems; Decomposable Process; Total Progeny (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1515/eqc-2021-0033

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