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Multiplicative controlled branching process with immigration

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  • Mukund Ramtirthkar
  • Mohan Kale

Abstract

We study a multiplicative controlled branching process which is subjected to an independent immigration at each generation. We discuss probabilistic properties such as generating function, mean and long run behavior of the generation sizes. Further, we consider an extension of proposed process and discuss its limiting behavior. We also propose the estimators of parameters of the process and discuss their asymptotic properties.

Suggested Citation

  • Mukund Ramtirthkar & Mohan Kale, 2022. "Multiplicative controlled branching process with immigration," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(21), pages 7683-7690, November.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:21:p:7683-7690
    DOI: 10.1080/03610926.2021.1887237
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