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Extinction probabilities in branching processes: A note on holgate and Lakhani's paper

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Abstract

Within the class of offspring distributions with given meanm>1 and probability of no offspringp o, the probabilityq of ultimate extinction in a Galton-Watson branching process starting from one individual satisfiesp 0<q(m,p0)≤q<1. A short table illustrates the lower boundq(m,p 0).

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Literature

  • Holgate, P. and K. H. Lakhani. 1967. “Effect of Offspring Distribution on Population Survival.”Bull. Math. Biophysics,29, 831–839.

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  1. Selwyn College, Cambridge, England

    D. J. Daley

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  1. D. J. Daley
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Work done at the Mathematics Department, University of Washington, Seattle, U.S.A.

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Daley, D.J. Extinction probabilities in branching processes: A note on holgate and Lakhani's paper. Bulletin of Mathematical Biophysics 31, 35–37 (1969). https://doi.org/10.1007/BF02478206

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  • DOI: https://doi.org/10.1007/BF02478206

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