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

Published online by Cambridge University Press:  14 July 2016

Aidan Sudbury
Aidan Sudbury*
Affiliation:
Monash University
*
∗ Postal address: Department of Mathematics, Monash University, Clayton, VIC 3168, Australia.
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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 (m½) where m is the population size at t = 0.

Keywords

BRANCHING PROCESSCENTRAL LIMIT THEOREMDOUBLING TIME
Type
Research Papers
Information
Journal of Applied Probability , Volume 20 , Issue 4 , December 1983 , pp. 728 - 736
Copyright
Copyright © Applied Probability Trust 1983 

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References

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