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Regularity criterion for 2-type Markov branching processes with immigration

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  • Li, Junping
  • Meng, Weiwei

Abstract

This paper concentrates on discussing the regularity property of 2-type Markov branching processes with immigration. We find a curve by using a differential equation based on the related generating functions. Hence a regularity criterion which is very easy to check is obtained.

Suggested Citation

  • Li, Junping & Meng, Weiwei, 2017. "Regularity criterion for 2-type Markov branching processes with immigration," Statistics & Probability Letters, Elsevier, vol. 121(C), pages 109-118.
  • Handle: RePEc:eee:stapro:v:121:y:2017:i:c:p:109-118
    DOI: 10.1016/j.spl.2016.10.010
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    References listed on IDEAS

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    1. Cohn, H. & Hering, H., 1983. "Inhomogeneous Markov branching processes: Supercritical case," Stochastic Processes and their Applications, Elsevier, vol. 14(1), pages 79-91, January.
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    Cited by:

    1. Meng, Weiwei & Xi, Chengxun, 2022. "Some properties of 2-type Markov branching processes with immigration and instantaneous resurrection," Statistics & Probability Letters, Elsevier, vol. 189(C).

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