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Extremes of geometric variables with applications to branching processes

Author

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  • Mitov, Kosto V.
  • Pakes, Anthony G.
  • Yanev, George P.

Abstract

We obtain limit theorems for the row extrema of a triangular array of zero-modified geometric random variables. Some of this is used to obtain limit theorems for the maximum family size within a generation of a simple branching process with varying geometric offspring laws.

Suggested Citation

  • Mitov, Kosto V. & Pakes, Anthony G. & Yanev, George P., 2003. "Extremes of geometric variables with applications to branching processes," Statistics & Probability Letters, Elsevier, vol. 65(4), pages 379-388, December.
    • Handle: RePEc:eee:stapro:v:65:y:2003:i:4:p:379-388
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    Cited by:

    1. Mitov, Kosto V., 2021. "A critical branching process with immigration in varying environments," Statistics & Probability Letters, Elsevier, vol. 168(C).

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