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The time taken for a population to grow from size m to size km

  • Aidan Sudbury (a1)

Abstract

Central limit theorems are given for the time taken for a population to increase by a factor k > 1 for a supercritical process, or to decrease by a factor k < 1 for a subcritical process. The size of errors is investigated so that confidence limits can be given for these times to O (m ½) where m is the population size at t = 0.

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Corresponding author

Postal address: Department of Mathematics, Monash University, Clayton, VIC 3168, Australia.

References

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[1] Athreya, K. B. and Ney, P. E. (1972) Branching Processes. Springer-Verlag, Berlin.
[2] Hall, P. Chi-square approximations to the distribution of a sum of independent random variables.

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The time taken for a population to grow from size m to size km

  • Aidan Sudbury (a1)

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