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Moments of the stationary distribution of subcritical multitype Galton–Watson processes with immigration

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  • Kevei, Péter
  • Wiandt, Péter

Abstract

A necessary and sufficient condition for the existence of moments of the stationary distribution of a subcritical multitype GWI process was obtained by Szűcs (2014). In this short note we give a simple proof of this result.

Suggested Citation

  • Kevei, Péter & Wiandt, Péter, 2021. "Moments of the stationary distribution of subcritical multitype Galton–Watson processes with immigration," Statistics & Probability Letters, Elsevier, vol. 173(C).
    • Handle: RePEc:eee:stapro:v:173:y:2021:i:c:s0167715221000298
    DOI: 10.1016/j.spl.2021.109067
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    Cited by:

    1. Barczy, Mátyás & Bezdány, Dániel & Pap, Gyula, 2023. "Asymptotic behaviour of critical decomposable 2-type Galton–Watson processes with immigration," Stochastic Processes and their Applications, Elsevier, vol. 160(C), pages 318-350.
    2. Dieter Fiems & Koen De Turck, 2023. "Analysis of Discrete-Time Queues with Branching Arrivals," Mathematics, MDPI, vol. 11(4), pages 1-13, February.

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