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The supercritical Galton-Watson process in varying environments--Seneta-Heyde norming

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  • Biggins, J. D.
  • D'Souza, J. C.

Abstract

A natural sufficient condition is given for a Galton-Watson process in a varying environment to have a single rate of growth that obtains throughout the survival set of the process. In the homogeneous process the growth rate is provided by the usual Seneta-Heyde norming.

Suggested Citation

  • Biggins, J. D. & D'Souza, J. C., 1993. "The supercritical Galton-Watson process in varying environments--Seneta-Heyde norming," Stochastic Processes and their Applications, Elsevier, vol. 48(2), pages 237-249, November.
    • Handle: RePEc:eee:spapps:v:48:y:1993:i:2:p:237-249
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    Cited by:

    1. Alsmeyer, Gerold & Gröttrup, Sören, 2016. "Branching within branching: A model for host–parasite co-evolution," Stochastic Processes and their Applications, Elsevier, vol. 126(6), pages 1839-1883.
    2. Shieh, Narn-Rueih & Yu, Jinghu, 2004. "Dimensions of supercritical branching processes in varying environments," Statistics & Probability Letters, Elsevier, vol. 70(4), pages 299-308, December.
    3. Biggins, J. D. & Cohn, H. & Nerman, O., 1999. "Multi-type branching in varying environment," Stochastic Processes and their Applications, Elsevier, vol. 83(2), pages 357-400, October.

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