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Regularly varying non-stationary Galton–Watson processes with immigration

Author

Listed:
  • Barczy, Mátyás
  • Bősze, Zsuzsanna
  • Pap, Gyula

Abstract

We give sufficient conditions on the initial, offspring and immigration distributions under which the distribution of a not necessarily stationary Galton–Watson process with immigration is regularly varying at any fixed time.

Suggested Citation

  • Barczy, Mátyás & Bősze, Zsuzsanna & Pap, Gyula, 2018. "Regularly varying non-stationary Galton–Watson processes with immigration," Statistics & Probability Letters, Elsevier, vol. 140(C), pages 106-114.
    • Handle: RePEc:eee:stapro:v:140:y:2018:i:c:p:106-114
    DOI: 10.1016/j.spl.2018.05.010
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